GMAT Quantitative Reasoning Practice Test 3

Question : 83 of 100

Marks: +1, -0

Richard is now 14.5 years older than Arthur and half of that amount older than Sam. If in 2.75 years, Richard will be twice and a half older than Arthur, then in 7 years what would be Arthur's age approximately?

Validate

Solution:

Translate piece by piece into numbers.

R

(Richard)

=A

(Arthur) +14.5 .
The second equation:

R=S

(Sam) +7.25 .
The third equation:

R+2.75=2.5(A+2.75)

. We have three equations with three variables.
Today Arthur's age is approximately 6.9 (take 7). In 7 years he would be about 14 years old.

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