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If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years,

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If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years,  [#permalink]

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25 Jul 2018, 04:18
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Question Stats:

90% (00:51) correct 10% (00:14) wrong based on 31 sessions

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If Carl is 3 times as old as Bea, how old is Bea?

(1) In nine years, Carl will be twice as old as Bea.

(2) Six years ago, Carl was 7 times as old as Bea.

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Re: If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years,  [#permalink]

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25 Jul 2018, 04:24
Ans: D
from the stem: c=3b

Stat 1) c+9 = 2(b+9)
so 3b+9=2b+18
b=9 (Suffi)

State 2) c-6=7(b-6)
so 3b-6 =7b-42
4b =36 ; b=9 (Suffi)

Ans D
Bunuel wrote:
If Carl is 3 times as old as Bea, how old is Bea?

(1) In nine years, Carl will be twice as old as Bea.

(2) Six years ago, Carl was 7 times as old as Bea.

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Re: If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years,  [#permalink]

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25 Jul 2018, 04:39
Bunuel wrote:
If Carl is 3 times as old as Bea, how old is Bea?

(1) In nine years, Carl will be twice as old as Bea.

(2) Six years ago, Carl was 7 times as old as Bea.

Let age of Carl and Bea be C and B respectively.
Given C=3B
Now from 1: C+9= 2*(B+9)
We have two equations and two variables. We can derive the value. - Sufficient.

From 2: C-6 = 7*(B-6)
Again, We have two equations and two variables. We can derive the value. - Sufficient.

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If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years,  [#permalink]

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25 Jul 2018, 04:54
Two Variables One equation given
C=3B

Statement 1= c+9=(3B+9)2
=> 2 variables and 2 equations . can solve. SUFFICIENT

Statement 2= c-6=7(B-6)
=> 2 variables and 2 equations . can solve. SUFFICIENT

Hence D.
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Re: If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years,  [#permalink]

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25 Jul 2018, 10:14
Bunuel wrote:
If Carl is 3 times as old as Bea, how old is Bea?

Given:
C = 3 * B --> 1)

(1) In nine years, Carl will be twice as old as Bea.
C + 9 = 2 * ( B + 9 ) --> 2)
2 Variables, 2 equations
Sufficient

(2) Six years ago, Carl was 7 times as old as Bea.
C - 6 = 7 * ( B - 6 ) --> 3)
2 Variables, 2 equations
Sufficient

Hence, D.
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Re: If Carl is 3 times as old as Bea, how old is Bea? (1) In nine years, &nbs [#permalink] 25 Jul 2018, 10:14
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