Question

Sum of age of mother and her daughter is 60 years. After 15 years mother age will twice as that of her daughter's age at that time. find the present age.

Answer 1

Answer :-

let Consider

mother age = x

Daughter age = 60-x

after 15 years

mother age = (x+15)

daughter age= (60-x+15)

according to the problem given :-

$= > \: x+15 = 2(75-x)$

$\: = > x+15 = 150-2x$

$= > x+2x =150-15$

$= > 3x = 135$

$= > x = 135 \div 3$

$= > 15$

$= > 15$

$= > x= 45$

therefore at present mother age

$=> x = 45$

daughter age

$= > 60 - 45$

$= > 15$

therefore mother's age 45 years

and daughter's age 15 years