Question

A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present age.

Answer 1

Hint: In order to solve this problem you have to assume the variables for their ages and then make the equation and solve it to get their ages.

Complete step-by-step answer:
Let the age of grand-daughter be x and that of grand-father be y.
It is given that grandfather is ten times older than his granddaughter.
So, 10x = y …. (1)
And x + 54 = y …. (2)
On equating the values of y from (1) and (2) we get,
10x = x + 54
9x = 54
x = 6
On putting the value of x in (1) we can say:
y = 60
Hence, the age of the grandfather is 60 and that of granddaughter is 6.

Note: Whenever you face such a type of problem you have to assume the number of variables equal to the number of equations made. Then solve to get the values of variables. Proceeding like this will provide you the right answer.