Question

a) A mother is three times as old as her daughter. Five years ago, she was five times
as old as
ber daughter was, find their present
age.

Answer 1

Answer:-

Daughter's present age is 10 years and Mother's present age is 30 years

Step-by-step explanation:-

Let the present age of the daughter be x.

Then,

The present age of the mother = 3x

Now,

5 years ago, the mother was five times as old as her daughter was

⇒ 5(x - 5) = 3x - 5

⇒ 5x - 25 = 3x - 5

⇒ 2x = 20

⇒ x = 10

Daughter's present age = x = 10 years, and

Mother's present age = 3x = 30 years

Answer⇒ Daughter's present age is 10 years and Mother's present age is 30 years

I hope that this helped you :-)

Answer 2

Answer:

let, the daughter be x.

Mother present age is 3x.

Now,

Fiveyears ago,

age of mother= 3x-5

age of daughter= x-5

According to the question,

or, 5 (x-5) = 3x-5

or, 5x-25 = 3x -5

or, 5x-3x =25-5

or, 2x =20

or, x =20/2

or, x=10

again,

Mother present age = 3x

= 3×10

= 30 years

Hence, the present age of mother and daughter is 10 and 30 years.

Thank you

Written by Sahil