Question

Rakesh age is more than Vanita age by 5 years the sum of their ages is 29 years. How old are they?

Answer 1

Answer: Vanita is 12 Rakesh is 17

(29-5)÷2 = Vanita

[( 29-5) ÷2]+5 = Rakesh

Answer 2

$\mathfrak{\underline{\underline{\red{Solution: }}}}$

$\sf\pink{Let~the~sania's~age~be~'x'~years.}$

$\sf\pink{Rakesh's~age~is~27~years.}$

$\sf\pink{Sum~of~their~age~is~27~years.}$

⠀⠀⠀⠀⠀⠀⠀$\tt\purple{x+(x-5)=27}$

⠀⠀⠀⠀⠀⠀$\tt\purple{.°.~x+x-5=27}$

⠀⠀⠀⠀⠀⠀$\tt\purple{2x=26+5}$

⠀⠀⠀⠀⠀⠀$\tt\purple{2x=32}$

⠀⠀⠀⠀⠀$\tt\purple{x=\cancel \frac{32}{2}}$

⠀⠀⠀⠀⠀$\tt\purple{x=\frac{16}{1}}$

⠀⠀⠀⠀⠀⠀$\tt\purple{.°.~x=16}$

${:⇒}$$\mathcal\orange{ѕania's~age~is~16~years.}$

$\tt\pink{.°.~Rakesh's~age=x-5}$

$\tt\pink{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=16-5}$

$\tt\pink{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=11}$

${:⇒}$$\mathcal\orange{Rakesh's~age~is~11~years.}$

${↪}$Rakesh is 11 years old and sania is 16 years old.