Question

the age of ram and mohan are in the ratio 5:7 and the difference between them is 12 years find the age of ram and mohan​

Answer 1

Let, the age of Ram = 5x

and age of Mohan = 7x

a/q,

7x - 5x = 12

2x = 12

x = 6

Hence, age of Ram = 5×6= 30 years

age of Mohan = 7×6 = 42 years

Answer 2

❇️ Question :-

The age of Ram and Mohan are in the ratio 5:7 and the difference between them is 12 years. Find the age of Ram and Mohan.

❇️ Solution :-

Let the unknown constant be z.

Given, the ratio of their ages = 5:7 and the difference between their ages is 12 years.

So,

$\blue \mapsto \sf 7z-5z=12$

$\blue \mapsto \sf 2z=12$

$\blue \mapsto \sf z= \frac{12}{2}$

$\blue \mapsto \sf z=6$

✨Therefore, their ages are :-

• Ram's age = 5z = 5(6) = 30 years
• Mohan's age = 7z = 7(6) = 42 years

❇️ Verification :-

Difference of their ages is 12 years, so :-

$\green \mapsto \sf 42 years - 30 years$

$\green \mapsto \sf 12 years$

✨ Hence, verified !!

_____________________

@Sita05❄️