Question

Navin is 4 years elder to Ajay . After 10 years , the ratio of the ages of Navin and Ajay is 10 : 9 Find Ajay's present age .​

Answer 1

Answer:

⠀⠀ ☯ Let's consider that the present age of Ajay be x.

And, Navin is 4 years elder to Ajay.

⠀⠀⠀

$:\implies\sf Navin = (x + 4)$

⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀

⠀$\large\sf\underline{\bigstar\; According \ to \ Question\;:}$

⠀⠀⠀⠀After 10 years, the ratio of the ages of Navin and Ajay is 10 : 9.

⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀

$:\implies\sf \dfrac{(x + 4) + 10}{x + 10} = \dfrac{10}{9} \\\\\\:\implies\sf (x + 14)9 = 10x + 100 \\\\\\:\implies\sf 9x + 126 = 10x + 100\\\\\\:\implies\sf 126 - 100 = 10x - 9x\\\\\\:\implies{\boxed{\boxed{\frak{\pink{x = 26}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀

Now,

Ajay's age, x = 26

Navin's age, (x + 4) = 26 + 4 = 30

⠀⠀⠀⠀⠀⠀

$\therefore\:{\underline{\sf{Present \ Age \ of \ Ajay \ is \ {\textsf{\textbf{26 years.}}}.}}}$⠀⠀⠀

Answer 2

$\huge{\fcolorbox{pink}{indigo}{\fcolorbox{lime}{purple}{\fcolorbox{cyan}{black}{\red{Good\: Night}}}}}$

$\Large\bf\pink{Let,}$

➝ Present age of Ajay = x years

$\Large\bf\blue{So,}$

➝ Age of Navin = (x + 4) years

$\bf\red{According\:to\:the\: question,}$

$:\implies\:\:\bf{\dfrac{(x\:+\:4)\:+\:10}{x\:+\:10}\:=\:\dfrac{10}{9}\:}$

$:\implies\:\:\rm{\dfrac{x\:+\:14}{x\:+\:10}\:=\:\dfrac{10}{9}\:}$

$:\implies\:\:\rm{(x\:+\:14)\times{9}\:=\:10\times{(x\:+\:10)}\:}$

$:\implies\:\:\rm{9x\:+\:126\:=\:10x\:+\:100\:}$

$:\implies\:\:\rm{10x\:-\:9x\:=\:126\:-\:100\:}$

$:\implies\:\:\rm\orange{x\:=\:26\:}$

$\Large\bold\therefore$ Ajay's present age is 26 years.

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$\Large\mathbb\pink{THANKS}$

$\Large\mathbb\green{HOPE\: IT'S\: HELPFUL}$