Vidyalelo
Verbal Reasoning · Q31

Arithmetic Reasoning

Competitive Exams · Verbal Reasoning · question 31

Q31

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

A.
9, 46
B.
9, 50
Answer
C.
10, 46
D.
10, 50

Answer: Option B

Solution

Answer: Option B
Solution:
We have : A = 3B ...(i) and
C - 4 = 2 (A - 4) ...(ii)
Also, A + 4 = 31 or A= 31-4 = 27.
Putting A = 27 in (i), we get: B = 9.
Putting A = 27 in (ii), we get C = 50.