Question

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

Answer 1

$\huge\fcolorbox{black}{lime}{AnsweR:}$

Heya !!

Let the present age of the son be X years.

Age of mother = ( X + 25 ) years.

After 8 years age of son= ( X + 8 ) years.

After 8 years age of mother = ( X + 25 + 8 ) = ( X + 33 ) years.

According to the question,

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.

And,

Present age of mother = X + 25 = 12 + 25 = 37 years.

$\huge\mathfrak{30thanks+follow=inbox}$

Answer 2

Answer:

son age 12 year

Step by step explanation:

given data:

mother 25 year older than her son

after 8 year sons and mothers age ratio 4/9

finding

son age

calculation:

let son age x year

mother 25 year older

so x+25

after 8 year age ratio 4/9

son age = x+8

mother age = x+25+8

= x+ 33

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

or 9x+ 72= 4x + 132

or 9x-4x= 132-72

or 5x = 60

or x=60/5 = 12year