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

Answer:

Age of ria = x

Age of Rahul= x-4

After 10 year:-

→ ratio of age is 9:10

SO,. (x) +(x-4)+20 = 9+10

2x-16 = 19

x = (19-16)/2

x = 3/2 or 1.5 years

and hence Rahul's age will be in negative....

this shows that Rahul hasn't born......

AND YES IS A ERROR IN THE QUESTION ....PLEASE CHECK AGAIN.....

I know 9:10 can be done like...

9y+10y.... or increasing the age....

10(9:10)..... [ means 20 years later ]

but it will not make his age in positive....

Hope it will help you.....

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Answer 2

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

⠀⠀⠀⠀

•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,

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

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

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

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

$\rightsquigarrow$ $\tt{ x=26 }$ ⠀

${\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{answer}}}}}$

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

so,

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

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

$\rightsquigarrow$ $\tt{ 26+4 }$ ⠀

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