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Data sufficiency - word translations

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by arellalu » Fri Aug 17, 2012 6:12 am
What is Ryan's age now?

1) Ryan is twice as old as he was 8 years ago.

2) Ryan's sister Katie is now 3 times as old as Ryan was exactly 8 years ago

The official answer to this problem is E, but I get D
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by anuprajan5 » Fri Aug 17, 2012 7:23 am
Hi,

Based on the data below, I will get an A. But I am not sure how you got a D and how the answer could be E

Assume Ryan's age now as x

x-8 = x/2

Therefore x = 16 - Sufficient

Theres no data on Katie. There's 2 variables. Assume Katie's age and Ryan's age to be k and x respectively. Then k = 3(x-8) - Insufficient.

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by Brent@GMATPrepNow » Fri Aug 17, 2012 1:06 pm
arellalu wrote:What is Ryan's age now?
1) Ryan is twice as old as he was 8 years ago.
2) Ryan's sister Katie is now 3 times as old as Ryan was exactly 8 years ago
Let R = Ryan's current age.
Target question: What is the value of R?

Statement 1: Ryan is twice as old as he was 8 years ago.
R-8 = Ryan's age 8 years ago.
From statement 1, we can write the equation R = 2(R-8)
Solve for R to get:
R = 2R - 16
R = 16
Since we're able to definitively find the value of R, statement 1 is SUFFICIENT

Statement 2: Ryan's sister Katie is now 3 times as old as Ryan was exactly 8 years ago
Since we know nothing about Katie's age, this statement is not sufficient.
We can demonstrate this by show two conflicting possible cases.
case a: Ryan's current age is 16, and Katie's current age is 24.
case b: Ryan's current age is 9, and Katie's current age is 3.

Since we get two different answers to the target question, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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