Question

mahesh is 6 years younger than rajesh. if the sum of their ages after 6 years. will be 66 years. find their present ages​

Answer 1

Given : Mahesh is 6 years younger than Rajesh. The sum of their ages after 6 years will be 66 years.

To Find : What are their present ages?

ㅤㅤ▬▬▬▬▬▬▬▬▬▬▬

❍ Let us assume, that the present age of Rajesh and Mahesh is 'x' and 'x - 6' years respectively.

✿ After 6 years,

Age of Rajesh = x + 6

Age of Mahesh = x - 6 + 6 = x

According to the question,

⟼ x + 6 + x = 66

⟼ 2x + 6 = 66

⟼ 2x = 66 - 6

⟼ x = ⁶⁰⁄₂

⟼ x = 30

$\pink{\bf{Therefore, \; their \: ages \: are :}}$

➲ Age of Rajesh = x = 30 years

➲ Age of Mahesh = x - 6 = 24 years

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Verification :

$\green{\tt{⟼ \: x + 6 + x = 66}}$

❐ Substituting x = 30, we get

⟼ 30 + 6 + 30 = 66

⟼ 60 + 6 = 66

⟼ 66 = 66

Hence, verified. ✓