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

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

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New post 08 Sep 2018, 06:36
2
00:00
A
B
C
D
E

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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Re: Bob is 12 years older than Peter. Six years ago Peter was twice younge  [#permalink]

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New post 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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New post 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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New post 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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