Question

A man is 10 times older than his grandson.He is also 54 years older than him.Find their present ages?

Answer with solution...

Answer 1

Let the age of grandson be x

and grandfather be 10x+54

A.T.Q

x = 10x + 54

-54 = 10x - x

- 54=9x

x = - 54÷9

x = - 6

The age of grandson is 6yrs.

And age of grandfather is 10x =10 ×6

= 60yrs.

Answer 2

Let the present age of his grandson = 'x'.

Then, the age of the man be 10x.

Now,

Given that the age of man is 54 years older than his grandson.

⇒ 10x = x + 54

⇒ 9x = 54

⇒ x = 6.

Therefore,

⇒ Age of grandson = 6 years.

⇒ Age of man = 60 years.

Hope this helps!