Question

The age of the father 5 years ago was 15 times the age of his son. At present the fathers
age is 5 times that of his son. What are the present ages of the father and the son?
(a) S-7, F-35 (b) S-6, F-30 (c) S-5, F-25 (d) None of these​

Answer 1

Answer:

answer is option(a) S = 7 , F = 35

Step-by-step explanation:

let the present age of father = x

let the present age of son = y

A.T.Q

(x - 5) = 15(y - 5)

x - 5 = 15y - 75

x - 15y = -75 + 5

x - 15y = - 70 -----------(1)

x = 5y -------(2)

put x in eq 1

x - 15y = -70

5y - 15y = -70

-10y = -70

10y = 70

y = 7

put y in eq 2

x = 5y

x = 5 × 7

x = 35