Question

Sum of ages of mother and her daughter is 60 years. After 15 years mother's age will be twice as that of her daughter's age at that time. Find their present ages.

Answer 1

Answer:

Mother's age = 45 years

Daughter's age = 15 years

Step-by-step explanation:

Let the mother’s age be M years and the daughter’s age be D years.

According to the question, M+D = 60  

= M = 60-D       ------- (1)

After 15 years, Mother’s age = M+15

Similarly, Daughter’s age = D+15

So, M+15 = 2*(D+15)

= M+15 = 2D+30

= (60-D) +15 = 2D+30                              [From Equation (1)]

= 75-30 = 2D+D

= 45 = 3D

= D = 15

So, by substituting the value of D in equation (1),

= M = 60-D

= M = 60-15

= M= 45

So, the ages of the mother and daughter are 45 & 15 respectively.

Hope, this answer helps you.