The present ages of P and Q are in the ratio 3 : 4 respectively. The average of present ages of P, Q, R and S is 28 years. The ages of R an… — Answer & Discussion

The present ages of P and Q are in the ratio 3 : 4 respectively. The average of present ages of P, Q, R and S is 28 years. The ages of R and Q, 4 years hence would be in the ratio of 5 : 4 respectively. S’s present age is ________ and he is 8 years elder to R.

A34 years
B35 years
C36 years
D39 years

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Discussion 1

CCommunity14 Jul 2019

Let the present age of P and Q be 3x years and 4x years.

Q’s age after 4 years = 4x + 4

R’s age after 4 years = (4x + 4)/4 × 5 = 5x + 5

R’s present age = 5x + 5 - 4 = 5x + 1

S’s present age = 5x + 9

According to the question,

⇒ 3x + 4x + (5x + 1) + (5x + 9) = 28 × 4

⇒ 17x + 10 = 112

⇒ 17x = 102

⇒ x = 6

∴ S’s present age = 5 × 6 + 9 = 39 years