Question

29. I am three times as old as my son. Five years
later, I will be and half times as old as my
son. Then, age of father and son will be
(a) 42 yr and 14 yr (b) 48 yr and 16 yr
(c) 57 yr and 19 yr (d) 45 yr and 15 yr.​

Answer 1

Answer: (d)

Suppose my age is x years and my son's age is y years. Then,

x=3y ..(i)

Five years later, my age will be (x+5) years and my son's age will be (y+5) years.

∴x+5=(2+21​)(y+5)   [Given]

⇒2x−5y−15=0 .....(ii)

Putting x=3y in equation (ii), we get

6y−5y−15=0⇒y=15

Putting y=15 in equation (i), we get

x=45

Hence, my present age is 45 years and my son's present age is 15 years.

Step-by-step explanation: