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Math Expert V
Joined: 02 Sep 2009
Posts: 59685
Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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Difficulty:   5% (low)

Question Stats: 96% (01:32) correct 4% (02:52) wrong based on 122 sessions

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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

Kudos for a correct solution.

Source: Chili Hot GMAT

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Manager  Joined: 21 Jul 2014
Posts: 119
Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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1
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.

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

$$e = 3l$$
$$2l+5 = 3l$$
$$2l+5-2l = 3l-2l$$
$$5=l$$

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

Intern  Joined: 25 May 2014
Posts: 46
Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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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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Posts: 36
Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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- 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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3 times older THAN L, so E= 4L
L+5=.5(5+E)
E=10
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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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
Manager  Joined: 14 Sep 2014
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Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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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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Posts: 9871
Location: Pune, India
Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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farzana87 wrote:
3 times older THAN L, so E= 4L
L+5=.5(5+E)
E=10

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

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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

Intern  Joined: 20 Jan 2013
Posts: 33
Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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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

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

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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

Math Expert V
Joined: 02 Sep 2009
Posts: 59685
Re: Elmer, the circus Elephant, is currently three times older than Leo, t  [#permalink]

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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.

Source: Chili Hot GMAT

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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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 Re: Elmer, the circus Elephant, is currently three times older than Leo, t   [#permalink] 05 Dec 2016, 09:41
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