Question

mother is 25 year older than her son find sons age if after 8 years ratio of sons age to mothers age is 4/9

Answer 1

Hope ..it will help u..

Answer 2

Answer:

The age of son is 12 years

Step-by-step explanation:

Let the present age of son be ' x '

According to question,

Mother is 25 year older than her son

So,

Age of mother = x + 25

After 8 years, both the ages will increment by 8 years

Age of son = ( x + 8 )

Age of mother = ( x + 25 + 8 )

Age of mother = ( x + 33 )

Given,

Ratio of son age to mother age is 4/9

so,

$\frac{x + 8 }{x+33}$ =  $\frac{4}{9}$ 

9 ( x + 8 ) = 4 ( x + 33 )

9x + 72 = 4x + 132

9x - 4x = 132 - 72

5x = 60

x = 60 /  5

x = 12

So,

The age of son is 12 years

And age of mother will be ( 12 + 25 ) = 37