If Shannon's age is exactly half of Josh's age, what is Shannon's age?

Question

(1) Six years ago Josh's age was exactly three times Shannon's age.
(2) Twelve years from now, Josh's age will be exactly 1.5 times Shannon's age.

ynaikavde · Answer

Current Josh's age=j
Current Shannon's age=s

Given
s=j/2

Statement 1>>> 3(s-6) = (j-6) substitute above given statement and solve J =24; s =12
Statement 2>>> (s+12)1.5=J+12 substitute above given statement and solve to get J= 24; s =12

Each statement is sufficient >> D

Cadaver · Answer

D, both the statements are sufficient...S-12, J-24

Bunuel · Answer

VERITAS PREP OFFICIAL SOLUTION

Correct Answer: D

Let S = Shannon's age and J = Josh's age. From the question stem we know that 2S = J. Statement (1) yields the following equation: (J - 6 )= (3) (S - 6). This becomes J - 6 = 3S - 18, which yields J = 3S - 12. When combined with the equation (2S = J) given in the question stem, we have two variables and two unique equations; therefore, statement (1) alone is sufficient. Statement 2 also provides a second unique equation: (J + 12) = (1.5) (S + 12), which becomes J = 1.5S + 6.

Thus, statement (2) alone is also sufficient. Since each statement alone is sufficient, the correct answer is D.

mridupawandas · Answer

given 2s=j from stmt 1) j-6=3(s-6) find the values sufficient.
 stmt 2) j+12=1.5(s+6) slove. Hence ans D

BrentGMATPrepNow · Answer

Target question :    What is Shannon's age?

Given : Shannon's age is exactly half of Josh's age  
In other words, Josh is CURRENTLY 2 times as old as Shannon. 
So, if we let x = Shannon's CURRENT age,...
...then 2x = Josh's CURRENT age

Statement 1 : Six years ago Josh's age was exactly three times Shannon's age.  
x - 6 = Shannon's age SIX YEARS AGO
And 2x - 6 = Josh's age SIX YEARS AGO
SIX YEARS AGO, Josh's age was exactly three times Shannon's age
We can write: 2x - 6 = 3(x - 6)
Expand: 2x - 6 = 3x - 18
Solve.....  x = 12 
The target question is  Shannon's CURRENT age is 12 
Since we can answer the  target question  with certainty, statement 1 is SUFFICIENT

Statement 2 : Twelve years from now, Josh's age will be exactly 1.5 times Shannon's age. 
x + 12 = Shannon's age TWELVE YEARS FROM NOW
And 2x + 12 = Josh's age TWELVE YEARS FROM NOW
TWELVE YEARS FROM NOW, Josh's age will be exactly 1.5 times Shannon's age
We can write: 2x + 12 = 1.5(x + 12)
Expand: 2x + 12 = 1.5x + 18
Solve.....  x = 12 
The target question is  Shannon's CURRENT age is 12 
Since we can answer the  target question  with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

Kinshook · Answer

Given: Shannon's age is exactly half of Josh's age,

Asked: What is Shannon's age?

Let Shannon's age be x => Josh's age = 2x

(1) Six years ago Josh's age was exactly three times Shannon's age.
2x - 6 = 3 (x-6) = 3x - 18
x = 12
Shannon's age is 12.
SUFFICIENT

(2) Twelve years from now, Josh's age will be exactly 1.5 times Shannon's age
2x+12 = 1.5 (x+12) = 1.5x + 18
.5x = 6
x = 12
Shannon's age is 12.
SUFFICIENT

IMO D

bumpbot · Answer

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If Shannon's age is exactly half of Josh's age, what is Shannon's age?

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GMAT Data Sufficiency (DS) Questions

If Shannon's age is exactly half of Josh's age, what is Shannon's age?

Prep Toolkit

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