Alison is now three times as old as Jeremy, but 5 years ago, she was 5

Question

Alison is now three times as old as Jeremy, but 5 years ago, she was 5 times as old as he was. How old is Alison now?

A. 10
B. 12
C. 24
D. 30
E. 36

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quimodigmat90 · Answer

Use options,

Consider Jeremy current age is 10, Allison is 30

Five years ago

Jeremy is 5 , Allison 25

quimodigmat90 · Answer

So, Allison is now 30.

Alexabisaad · Answer

Current: A = 3J
Old: A - 5 = 5 ( J - 5) -> A = 5J - 25 + 5 -> A = 5J - 20

Current = Old to find J:
3J = 5J -20 
J = 10 ---- then A = 3(10) = 30 -> Current Age

Dereno · Answer

Let the current ages of Alison and Jeremy be A and J respectively.

A = 3J

Five years ago, (A-5) = 5*(J-5)

A-5 = 5J - 25

A = 5J - 20

Equating A = 3J with A = 5J - 20

3J = 5J - 20

J = 10

Then, A = 3J = 3*10 =  30

Option D

Missinga · Answer

Alison is now three times as old as Jeremy, but 5 years ago, she was 5 times as old as he was. How old is Alison now?

A=3J 
(A-5)=5(J-5) 
3J-5=5J-25; 2J=-5+25=20; J=10 and A=3*10=30

D

findingmyself · Answer

Let's give a few terms here, Alison's Present age or Agen now=A, same for Jeremy is =J

1st statement--> A=3J

2nd Statement-->5 years ago, which is A-5, Jeremy was 5 times as old as Alison. Ask yourself this question at this point, 5 years ago, if Alison in A-5, then jeremys age is also J-5, thus A-5=5(J-5)

Solving both equations, we have 
 3J-5=5J-25 
 20=2J 
 J=10

We are not interested in J The question is asking about A, which is 3J=30

Souradeep17 · Answer

A=x
J=y
x=3y

x-5=5(y-5)
3y-5=5y-25
y=10
x=30
A=30 yrs age (option D)

GraemeGmatPanda · Answer

A smart way of doing this one is to use divisibility
"Alison is now three times as old as Jeremy" --> her age is now divisible by 3. This rules out answer A
"5 years ago, she was 5 times as old as he was" --> If we subtract 5 from the answer, we should get a number divisible by 5. Only Answer D from the remaining options fits this!

Hope this helps!

007Phoenix007 · Answer

Let Alison's and Jeremy's current age be A and J respectively 
Given,
A=3J........(1)
A-5=5(J-5)........(2)
Solving the equations, we get,
3J-5=5J-25
2J=20
J=10
Therefore,
A=30

So the correct answer is D (30)

Alison is now three times as old as Jeremy, but 5 years ago, she was 5

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GMAT Problem Solving (PS) Questions

Alison is now three times as old as Jeremy, but 5 years ago, she was 5

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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