Question

The present age of vikas and sujit are in the ratio 5:4 respectively. Three years hence the ratiobof their ages will become 11:9 respectively. What is sujits present age in years?

Answer 1

the answer is attached in the given image

Answer 2

Answer:

Let the present age of Vikas be 5x and Sujit be 4x respectively.

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☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf \dfrac{Vikas+3}{Sujit+3}=\dfrac{11}{9}\\\\\\:\implies\sf \dfrac{5x + 3}{4x + 3} = \dfrac{11}{9} \\\\\\:\implies\sf (5x + 3) \times 9= 11 \times (4x + 3)\\\\\\:\implies\sf 45x + 27 = 44x + 33\\\\\\:\implies\sf 45x - 44x = 33 - 27\\\\\\:\implies\:\underline{\boxed{\red{\bf x = 6\:years}}}\: \orange\bigstar$

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☯ $\underline{\boldsymbol{Present\: Age\:of\: Vikas\:\&\: Sujit:}}$

$\bullet\:\:\textsf{Vikas = 5x = 5(6) = \textbf{30 years}}\\\bullet\:\:\textsf{Sujit = 4x = 4(6) = \textbf{24 years}}$

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