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Elmer, the circus Elephant, is currently three times older than Leo, t

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Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 07:33
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Tough and Tricky questions: Word Problems.



Elmer, the circus Elephant, is currently three times older than Leo, the circus Lion. In five years from now, Leo the circus Lion will be exactly half as old as Elmer, the circus Elephant. How old is Elmer today?

A) 10
B) 15
C) 17
D) 22
E) 25

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Source: Chili Hot GMAT

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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 22:00
2
farzana87 wrote:
3 times older THAN L, so E= 4L
L+5=.5(5+E)
E=10
Answer A.


Strictly mathematically, three times more would mean 4x but in regular parlance, 3 times older means 3x. So usually, in questions, when people come across 'three time more', they write it as 3x. Hopefully, GMAT will word the questions in a way to avoid this contradiction.

Now, solving the question taking regular parlance into consideration,
"Elmer, the circus Elephant, is currently three times older than Leo, the circus Lion. "

Elmer = 3*Leo
Usually, ages are integers so there is a good possibility that the age of Elmer is 15 (the only option that is a multiple of 3).
Then age of Leo would be 5. In 5 yrs, Elmer would be 20 and Leo would be 10 - so Leo would be half as old as Elmer.
Answer (B)
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 07:44
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



Elmer, the circus Elephant, is currently three times older than Leo, the circus Lion. In five years from now, Leo the circus Lion will be exactly half as old as Elmer, the circus Elephant. How old is Elmer today?

A) 10
B) 15
C) 17
D) 22
E) 25

Kudos for a correct solution.


Let e = Elmer's age today and l = Leo's age today.

First, we translate the sentences into algebraic expressions:
\(e = 3l\)
\(l+5 = (e+5)/2\)

Then we solve for e.

\(l+5 = (e+5)/2\)
\(2(l+5) = 2((e+5)/2)\)
\(2l+10 = e+5\)
\(2l+10-5 = e+5-5\)
\(2l+5 = e\)

\(e = 3l\)
\(2l+5 = 3l\)
\(2l+5-2l = 3l-2l\)
\(5=l\)

\(e = 3l\)
\(e = 3(5)\)
\(e = 15\)

Correct answer: B
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 08:56
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Given: Elmer is 3 times older than Leo---> E = 3L
Elmer's age 5 years from now = E+5
Leo's age 5 years from now = L+5
after 5 years Leo will be exactly half as old as Elmer-----> L+5 = (E+5)/2
substituting the value of L we get E/3 + 5 = (E+5)/2----> E=15
B
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 09:34
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Is the answer B?
- Now: Leo is x years old, El is 3x years old
- 5 years later: Leo is x+5, El is 3x+5 and is 2 ( x+5) ( twice Leo's age)/
=> x=5 => El is 3.5 years old = 15
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 21:53
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Let current age of elephant be e and lion be l

e = 3l
e+5 = 2(l+5)

l = 5
e = 15
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 25 Nov 2014, 02:47
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Let us consider Leo's current age is X
Elmer's current age = 3X ( Because Elmer is currently three times older than Leo)

After 5 years,

Age of Leo= X+5
Age of Elmer = 3X+5

As per question, after 5 years, Leo will be exactly half as old as Elmer.

X+5= 1/2(3X+5)

Solve above equation for X,
X= 5
Elmer's current age is 3*5=15

Answer: B
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 25 Nov 2014, 05:42
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Elmer (E) is 3 times older than Leo(L) => E = 3L
Elmer's age 5 years from now = E+5
Leo's age 5 years from now = L+5
after 5 years Leo will be exactly half as old as Elmer => L+5 = (E+5)/2
substituting the value of L we get E/3 + 5 = (E+5)/2 => E=15

Answer B
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 10:16
3 times older THAN L, so E= 4L
L+5=.5(5+E)
E=10
Answer A.
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 24 Nov 2014, 21:09
Answer = B) 15

Elmer ......................... Leo

x ................................ \(\frac{x}{3}\) (Current ages)

x+5 ......................... \(\frac{x}{3} + 5\) (5 years onward)

Given that after 5 years, Leo the circus Lion will be exactly half as old as Elmer, the circus Elephant

Setting up the equation

\(\frac{1}{2} (x+5) = \frac{x}{3} + 5\)

\(x - \frac{2x}{3} = 10 - 5\)

x = 5*3 = 15
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 25 Nov 2014, 05:57
Present Age of Elmer = E
Present Age Leo = L

Given that E=3L

Also After 5 years Leo's age becomes half of Elmer.

(E+5)/2=(L+5)
E=2L+5
L=5;since E=3L So E=15


Answer B
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 25 Nov 2014, 08:06
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Elmer, the circus Elephant, is currently three times older than Leo, the circus Lion. In five years from now, Leo the circus Lion will be exactly half as old as Elmer, the circus Elephant. How old is Elmer today?

A) 10
B) 15
C) 17
D) 22
E) 25

Kudos for a correct solution.

Source: Chili Hot GMAT


The correct answer is B.

Check other Age Problems HERE.
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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New post 05 Dec 2016, 09:41
Set up equations.
E=3L
(L+5) = ½(E+5)

Solve.
L+5 = ½(3L+5)
L+5 = 1.5L + 2.5
2.5 = 0.5L
L=5 years old

E= (3)(5) = 15 years old
Answer: B
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t   [#permalink] 05 Dec 2016, 09:41
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