Ramesh’s father is 27 years older than Ramesh. After 5 years, the ra

1.	Ramesh’s father is 27 years older than Ramesh. After 5 years, the ratio of ages of Ramesh and his father would be 2 : 3. Find their present age.
Answer» Let age of Ramesh = x years Then father’s age = (x + 27) years After 5 years from now, age of Ramesh = (x + 5) years After 5 years from now, age of father = x+ 27 + 5 = (x+ 32) years According to question, \(\frac{x+5}{x+32} = \frac{2}{3}\) or 3(x + 5) = 2(x + 32) or 3x + 15 = 2x + 64 or 3x – 2x = 64 – 15 or x = 49 Ramesh’s age x = 49 years Father’s age x + 27 = 49 + 27 = 76 years

Ramesh’s father is 27 years older than Ramesh. After 5 years, the ratio of ages of Ramesh and his father would be 2 : 3. Find their present age.

Answer»

Let age of Ramesh = x years

Then father’s age = (x + 27) years

After 5 years from now, age of Ramesh = (x + 5) years

After 5 years from now, age of father = x+ 27 + 5 = (x+ 32) years

According to question, \(\frac{x+5}{x+32} = \frac{2}{3}\)

or 3(x + 5) = 2(x + 32)

or 3x + 15 = 2x + 64

or 3x – 2x = 64 – 15

or x = 49

Ramesh’s age x = 49 years

Father’s age x + 27 = 49 + 27 = 76 years