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# Judy is now twice as old as Adam, but 6 years ago, she was 5 times as

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Joined: 02 Sep 2009
Posts: 50576
Judy is now twice as old as Adam, but 6 years ago, she was 5 times as  [#permalink]

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08 Jul 2018, 22:09
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:33) correct 23% (01:38) wrong based on 22 sessions

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Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?

A. 10
B. 16
C. 20
D. 24
E. 32

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Joined: 23 Jul 2017
Posts: 5
Re: Judy is now twice as old as Adam, but 6 years ago, she was 5 times as  [#permalink]

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09 Jul 2018, 01:11
5
Let the current age of Judy = X
Let the current age of Adam = Y

The first statement says that X=2Y

Also, 6 years ago, Judy was 5 times as old as Adam was
Therefore (X-6) = 5(Y-6)
2Y-6=5Y-30
3Y=24
Y=8
X=2*8 = 16

Therefore, the answer is option B
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Judy is now twice as old as Adam, but 6 years ago, she was 5 times as  [#permalink]

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08 Jul 2018, 22:14
Let J and A be current ages of Judy and Adam respectively

Judy is now twice as old as Adam --- > J = 2A

6 years ago, Judy was 5 times as old as Adam was ---> J-6 = 5(A-6)

Solving both the equations A=8 and J = 16

Hence option B
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Re: Judy is now twice as old as Adam, but 6 years ago, she was 5 times as  [#permalink]

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08 Jul 2018, 22:19

Solution

Given:
• Judy is now twice as old as Adam
• 6 years ago, Judy was 5 times as old as Adam was

To find:
• Present age of Judy

Approach and Working:
If we assume the age of Adam 6 years back was x, then Judy was 5x at that time
• Present age of Adam = x + 6
• Present age of Judy = 5x + 6

Given that,
• 5x + 6 = 2 (x + 6)
Or, 5x + 6 = 2x + 12
Or, 3x = 6
Or, x = 2

Therefore, present age of Judy = 5x + 6 = 5 * 2 + 6 = 16

Hence, the correct answer is option B.

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Re: Judy is now twice as old as Adam, but 6 years ago, she was 5 times as  [#permalink]

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09 Jul 2018, 01:56
..... Judy's.......= 2x

Six years ago,

2x-6= 5(x-6)
2x-6= 5x-30
5x-2x= 30-6
3x= 24
x= $$\frac{24}{3}$$= 8

Judy's present age= 2x= 2*8= 16

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Re: Judy is now twice as old as Adam, but 6 years ago, she was 5 times as &nbs [#permalink] 09 Jul 2018, 01:56
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