Question

1.
The sum of the present ages of a mother and her daughter is 55 years. After 16 years, the age
of the mother will be double the age of her daughter. What will be the sum of the ages of the
mother and her daughter after 5 years from the present?
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Answer 1

Answer:

let the present age of mother be x and present age of daughter be 55-x

after 16 years ago of both mother and daughter are :-

mother's age=x+16

daughter's age =55-x+16

=71-x

a/q

after 16 years mother's age will double

her daughter age

2(71-x)=x+16

142-2x=x+16

3x=142-16

x=126/3

x=42

hence, mother's present age is 42 years & daughter's present age is 55-42=13 years

now,

after 5 years from the present the sum of their ages will be:-

(42+5)+(13+5)

47+18

= 65 years