Question

2. A mother is 24 years older than her son. After 4 years, the age of mother will be twice of the age of her son. Find the present age of mother and son.​

Answer 1

Step-by-step explanation:

Mother’s age now: x + 24

Son’s age now: x

Mothers age later: x + 28

Son’s age later: x + 4

After 4 years, x + 28 = 3 (x + 4)

x + 28 = 3x + 12

28 = 2x + 12

16 = 2x

x = 8

Therefore, son’s age is 8 years old, mother’s age is 32 years old.

Answer 2

Mother’s age now: x + 24

Son’s age now: x

Mothers age later: x + 28

Son’s age later: x + 4

After 4 years, x + 28 = 3 (x + 4)

x + 28 = 3x + 12

28 = 2x + 12

16 = 2x

x = 8

Therefore, son’s age is 8 years old, mother’s age is 32 years old.