Q9. A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Answers (1)

Let the age of granddaughter is x years.

So the age of grandfather is x + 54.

Also grandfather is ten times older than his granddaughter.

i.e.,                x + 54 = 10x

Transposing x to the RHS :

                      54 = 10x - x

or                   54 = 9x

or                       x = 6

Therefore age of granddaughter = 6 years

and the age of grandfather = 6 + 54 = 60 years

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