Question

The sum of Mother's age and thrice the age of her daughter is 65yrs. If double the mother's age and add to daughter's age the sum is 80yrs. Find mother's present age. ​

Answer 1

Mother-40yrs, daughter -10yrs

Step-by-step explanation:

Let x and y be the present age of mother and her daughter.

Therefore,

x+y=50

⇒x=50−y

After 20 years, mother's age will be twice her daughter's age at the time.

x+20=2(y+20)

⇒x−2y=20

we have

50−y−2y=20

3y=30

⇒y=10

we get

x=50−10=40

Hence the present age of mother and her daughter is 40 and 10 years respectively.