Question

Ria is 4 years elder to Rahul. After 10 years, the ratio of the ages of Rahul to Ria is 9:10. Find Rahul’s present age.​

Answer 1

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

⠀⠀⠀⠀

•Ria is 4 years older to rahul.

• After 10 year go then the age of rahul and Ria is= 9:10

$\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

Rahul’s present age .??

$\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

Let, the age of Ria be x years and the age of Rahul be (x+4) years

After 10 years,

☆Age of Ria = (x + 10) years

☆Age of Rahul = (x + 14) years

So,

According to the question,

$\rightsquigarrow$ $\tt{\dfrac{x+10}{x+14}=\dfrac{9}{10} }$ ⠀

$\rightsquigarrow$ $\tt{10(x+10)=9(x+14) }$ ⠀

$\rightsquigarrow$ $\tt{ 10x+100=9x+126 }$ ⠀

$\rightsquigarrow$ $\tt{10x-9x=126-100 }$ ⠀

$\rightsquigarrow$ $\tt{ x=26 }$ ⠀

$\large\bold{\underline{\underline{Answer:-}}}$

$\therefore$ $\tt{Present~ age ~of _{(ria)}}$=$\tt{x=26~years}$ ⠀

so,

$\tt{present ~age_{(rahul)}}$ $\implies$

$\rightsquigarrow$ $\tt{x+4 }$

$\rightsquigarrow$ $\tt{ 26+4 }$ ⠀

$\rightsquigarrow$ $\tt{30 ~years }$ ⠀

Answer 2

$\pink\sf{\bold{\green{\underline{\underline{ᎶᎥѵҽղ :}}}}}$

• Ria is 4 years older to rahul.

• After 10 year go then the age of rahul and Ria is= 9:10

$\pink\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

Rahul’s present age .??

$\pink\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

Let, the age of Ria be x years and the age of Rahul be (x+4) years

After 10 years,

☆ Age of Ria = (x + 10) years

☆ Age of Rahul = (x + 14) years

So,

According to the question,

$\rightsquigarrow \tt \red{\dfrac{x+10}{x+14}=\dfrac{9}{10} }$

$\rightsquigarrow \tt\red{10(x+10)=9(x+14) }$ ⠀

$\rightsquigarrow \tt{ 10x+100=9x+126 }$

$\rightsquigarrow \tt \red{10x-9x=126-100 }$

$\rightsquigarrow \tt \red{x=26 }$

$\large\bold{\underline{\underline{Answer:-}}}$

$\therefore \tt \red{Present~ age ~of _{(ria)}}$

= $\tt\red{x=26~years}$⠀

so,

$\tt{present ~age_{(rahul)}}$

$\implies$

$\rightsquigarrow \tt \red{x+4 }$

$\rightsquigarrow \tt \red{ 26+4 }$

$\rightsquigarrow \tt \red{30 ~years }$

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$\small\sf\color{gold}{@TheSwagMunda}$