Mother is 25 years older than her son. Find son’s age, if after 8 ye

1.	Mother is 25 years older than her son. Find son’s age, if after 8 years ratio of son’s age to mother’s age will be 4/9.
Answer» Let the son’s present age be x years. ∴ Mother’s present age = (x + 25) years After 8 years, Son’s age = (x + 8) years Mother’s age = (x + 25 + 8) = (x + 33) years Since, the ratio of the son’s age to mother’s age after 8 years is 4/9 ∴ (x + 8/x + 33) = 4/9 ∴ 9 (x + 8) = 4 (x + 33) ∴ 9x + 72 = 4x + 132 ∴ 9x – 4x = 132 – 72 ∴ 5x = 60 ∴ x = 12 ∴ Son’s present age is 12 years.

Mother is 25 years older than her son. Find son’s age, if after 8 years ratio of son’s age to mother’s age will be 4/9.

Answer»

Let the son’s present age be x years.

∴ Mother’s present age = (x + 25) years

After 8 years,

Son’s age = (x + 8) years

Mother’s age = (x + 25 + 8) = (x + 33) years

Since, the ratio of the son’s age to mother’s age after 8 years is 4/9

∴ (x + 8/x + 33) = 4/9

∴ 9 (x + 8) = 4 (x + 33)

∴ 9x + 72 = 4x + 132

∴ 9x – 4x = 132 – 72

∴ 5x = 60

∴ x = 12

∴ Son’s present age is 12 years.