Question

The sum of the ages of mother and daughter is 53 years. After 8 years, the age of the mother will be twice,as old as the daughter. Find their present ages

Answer 1

Answer:

Mother: 38 years

Daughter: 15 years

Step-by-step explanation:

Let the age of the mother be x, let the age of daughter be y.

Sum: x+y=53

Therefore, x = 53-y

8 years later:

mother = x+8

daughter = y+8

x + 8 = 2 (y+8)

x + 8 = 2y + 16

On substituting value of x,

(53 - y) + 8 = 2y + 16

53 + 8 - y = 2y + 16

61 - y = 2y + 16

2y + y = 61 - 16

3y = 45

Therefore, y = 15.

x = 53 - y

x = 53 - 15

x = 38