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# Bob is 12 years older than Peter. Six years ago Peter was twice younge

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Director
Joined: 31 Jul 2017
Posts: 518
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Bob is 12 years older than Peter. Six years ago Peter was twice younge  [#permalink]

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08 Sep 2018, 06:36
2
00:00

Difficulty:

15% (low)

Question Stats:

88% (02:13) correct 12% (02:02) wrong based on 31 sessions

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Bob is 12 years older than Peter. Six years ago Peter was twice younger than Bob. How old is Bob?

1. 30
2. 15
3. 10
4. 20
5. 21

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: Bob is 12 years older than Peter. Six years ago Peter was twice younge  [#permalink]

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08 Sep 2018, 07:31
rahul16singh28 wrote:
Bob is 12 years older than Peter. Six years ago Peter was twice younger than Bob. How old is Bob?

1. 30
2. 15
3. 10
4. 20
5. 21

the first statement tells us that
b=12+p
second one tells us that
b-6=2(p-6)

subtracting 1 from 2
p=18
b=12+18=30
A
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Re: Bob is 12 years older than Peter. Six years ago Peter was twice younge  [#permalink]

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08 Sep 2018, 10:21
rahul16singh28 wrote:
Bob is 12 years older than Peter. Six years ago Peter was twice younger than Bob. How old is Bob?

1. 30
2. 15
3. 10
4. 20
5. 21

b = p + 12

2( b - 6 ) = ( p - 6 )

Or, 2( p + 12 - 6 ) = ( p - 6 )

Or, 2 ( p + 6 ) = p - 6

Or, 2p + 12 = p - 6

Or, p = 18

So, b = 30, Answer must be (A)
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Re: Bob is 12 years older than Peter. Six years ago Peter was twice younge  [#permalink]

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08 Sep 2018, 10:28
rahul16singh28 wrote:
Bob is 12 years older than Peter. Six years ago Peter was twice younger than Bob. How old is Bob?

1. 30
2. 15
3. 10
4. 20
5. 21

OA: A

Let Bob's Age be $$B$$
Let Peter's Age be $$B-12$$

$$(B-6) = 2[(B-12)-6]$$

$$B-6 = 2(B-18)$$

$$B-6 = 2B-36$$

$$B = 30$$ years
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Re: Bob is 12 years older than Peter. Six years ago Peter was twice younge   [#permalink] 08 Sep 2018, 10:28
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