Question

Mothers age is 25 year older than her son find the sons age after 8 year if ratio of sons age to mother age will be 4/9

Answer 1

check the attachment

Answer 2

Answer:

Given that:

• Mother is 25 year older than her son.

• Son's age if after 8 year ratio of the son is to mother age will be 4/9

To find:-

• Their ages.

Solution:-

Let the present age of son be x year

The present age of mother be (x + 25) years.

8 years later,

Son = (x + 8) years.

Mother = (x + 25 + 8) = (x + 33) years.

$\bold{A.T.Q}$

⇒ (x + 8 )/( x+ 33) = 4/9

⇒ 9 (x + 8) = 4 (x + 33)

⇒ 9x + 72 = 4x + 132

⇒ 9x - 4x = 132 - 72

⇒ 5x = 60

⇒ x = 60/5

⇒ x = 12 years

• Present age of son ( x ) = 12 years.

• Present age of mother (x + 25) = 12 + 25 = 37 years.