GMAT Quantitative Reasoning Practice Test 8

Question : 47 of 76

Marks: +1, -0

Jasmine is the oldest member of the “Brain Storm club”. If next year, the age of Sam will be two thirds that of Jasmine, what is Sam’s age today?
(1) Rick and Sam’s twin brother.
(2) Three years ago, Rick’s age was half of that of Jasmine.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Validate

Solution:

Define

J

as the age of Jasmine and

S

as the age of Sam.
The question tells us that in a year from now:

(S+1)=2 / 3 ×(Y+1)

.
Statement (1) presents a new parameter, Rick's age, which is equal to Sam's age.
Statement (2) tells us that:

(X-3)=1 / 2 ×(Y-3)

.
Using both statements, we have two equations with two unknowns.

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