#### Question

Mother is 25 year older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be `4/9`.

#### Solution

Let the present age of the son be x years.

Age of the mother = (x + 25) years

After 8 years,

Age of son = (x + 8) years

Age of mother = (x + 25+ 8) years

= (x + 33) years

From the given information,

`("x" + 8)/("x" + 33) = 4/9`

⇒ 9 (x + 8) = 4 (x + 33)

⇒ 9x + 72 = 4x + 132

⇒ 9x - 4x = 132 - 72

⇒ 5x = 60

⇒ x = 12

Hence, the present age of the son is 12 years.

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Solution Mother is 25 Year Older than Her Son. Find Son'S Age If After 8 Years Ratio of Son'S Age to Mother'S Age Will Be 4 9 . Concept: Word Problems of Equation in One Variable.