Question

The sum of the ages of a mother and a daughter is 50yrs. five years ago, the mother's age was 7 times the age of the daughter. the present ages of mother and daughter are in year

Answer 1

Hi....
the present age=x
5 years ago,
mother age=(x-5)7
daughter age=(x-5)
the sum of their age=50
(7x-35)+(x-5)=50
8x-40=50
8x=90
x=90/8=45/4=11.5
daughter age =11.5
mother age=80.5

Answer 2

Answer:

Let the age of daughter be x years.

Then, the age of mother will be (50 - x) years.

According to Question now,

➳ 7(x - 5) = 50 - x - 5

➳ 7x - 35 = 45 - x

➳ 7x + x = 45 + 35

➳ 8x = 80

➳ x = 10 years

Therefore,

Present Age of daughter = x = 10 years

Present Age of mother = 50 - x = 40 years.