Question

solve this maths problem rakesh age is less than sania age by 5 years the sum of their ages is 27 years . how old are they

Answer 1

let rakesh's age be x years and sania's age be y years.

y-x=5

y=x+5

also, x+y=27

x+x+5=27

2x=22

x=11

hence, rakesh  is 11 years old

and sania is 16 years old

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.