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Q. Solve the following step by step with statement and working.1. Rakesh's age is less than Sania's age by 5 years. The sum of their ages is 27 years. How old are they ? ​

Answer»

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

\sf\pink{Let~the~<klux>SANIA</klux>'s~age~be~'x'~<klux>YEARS</klux>.}

\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{<klux>16</klux>}{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{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=<klux>11</klux>}

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

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



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