Question

Vivek is twice as old as his cousin Ruchi is now . If Vivek is also 3 uears older than Ruchi, find their ages
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Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• Vivek is twice as old as his cousin Ruchi.

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• Vivek is 3 yrs older than Ruchi.

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

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• Their ages.

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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Let 'x' be the age of vivek

Let 'y' be the age of Ruchi

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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$\purple\longrightarrow$ $\sf x = 2y$ --------(1)

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Also,

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$\purple\longrightarrow$ $\sf y + 3 = x$ --------(2)

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$\red{\bold{Equation (1) = Equation (2)}}$

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$\sf \longmapsto 2y = y + 3$

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$\bf \dashrightarrow y = 3$ -------(3)

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$\underline{\bold{\texttt{Putting the value of y in (1)}}}$

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$\sf \implies x = 2(3)$

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$\bf \dashrightarrow x = 6$

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Hence vivek's age is 6 yrs & Ruchi's age is 3 yrs

$\rule{200}5$