question_answer

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

Answer:

Let the present age of granddaughter be x.

and the present age of grandfather = 10 x

According to question,

\[10x=x+54\]

or,                 \[10x-x=54\]

or,                \[9x=54\]

or,               \[x=\frac{54}{9}\,\,\,or,\,x=6\] years

Hence,                 granddaughter's age = 6 years

and                       grandfather's age

\[=\text{ }6\times 10=60\] years