Question

The age of man is 3 times that of his son. 15 years ago, the man was 9 times as old as his son. what will be the age of the man after 15 years?

Answer 1

Let the age of the man be x and of son be y
Man's age =3 the son's age
That is, x=3y 1.
15 Yrs ago, fathers age=x-15
Son's age = y-15

Then, fathers age =9 sons age
(x-15)=9(y-15)
x-15=9y-135
x-9y=-135+15
x-9y=-120 2.
Put the value of x in equation 2 from equation 1.

x-9y =-120
3y-9y=-120
-6y=-120
6y =120
y=20

Present age of son is =20yrs
Present age of man age =3y
=3*20 =60yrs

Man's 's age after 15yrs=60+15
=75yrs


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Answer 2

Hope this helps you.