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Ages of two brothers differ by 7 and are in the ratio 3 : 2. What is the sum of their ages?
Question

Ages of two brothers differ by 7 and are in the ratio 3 : 2. What is the sum of their ages?

A.

21

B.

42

C.

45

D.

35

Correct option is D

Given:
The difference between the ages of two brothers is 7.
The ratio of their ages is 3:2.
Solution:
Let the ages of the two brothers be 3xand 2x.
3x − 2x = 7
3x − 2x = 7
x = 7
The ages of the two brothers are:
3x = 3 × 7 = 21
2x = 2 × 7 = 14
The sum of their ages:
21 + 14 = 35 years

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