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The Official Guide For GMAT® Quantitative Review, 2ND EditionToday Rose is twice as old as Sam and Sam is 3 years younger than Tina . If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?
I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
III. Rose is older than Tina.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Problem Solving
Question: 75
Category: Algebra Applied problems
Page: 71
Difficulty: 600
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R = 2S
S=T-3
Target question: If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?
I. Rose is twice as old as Sam
Let R =8 and S=4 THEN 4 YEARS DOWN THE ROAD = R=8+4 = 12 AND S= 8 HERE ROSE IS NOT TWICE AS OLD AS SAM
Therefore not true eliminate A AND D
II. Sam is 3 years younger than Tina.
IF TODAY SAM IS 4 AND TINA WOULD BE 7
FOUR YEARS DOWN THE ROAD SAM WILL STILL BE 3 YEARS YOUNGER THAN TINA
tRUE: B /D /E HAS OPTION 2 BUT WE ALREADY RULED OUT OPTION D
SO B OR E IS THE RIGHT ANS
III. Rose is older than Tina.
we are given
R = 2S
S=T-3
if sam is 4 rose is 8 and is sam is 4 tina is 7
Here rose is older than tina
if sam was 2 rose would be 4 and Tina would be 5
here Rose is younger than tina .
so we cant say for sure if Rose is older than Tina.
so only option B