Question

The ratio of the present age of the father to that of the son is 7:2 after 10 years their ages will be in the ratio 9:4 find the present age of the father

Answer 1

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

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

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• Present ratio of ages of father and son is = 7:2
• After 10 yrs their ages will be in ratio = 9:4

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

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• The present age of the father

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

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

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$\underline{\bold{\texttt{Present ages are:}}}$

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• Father = 7x

• Son = 2x

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$\underline{\bold{\texttt{After ten years}}}$

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• Father = 7x+10

• Son = 2x+10

$\underline{\bold{\texttt{Ratio :-}}}$

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⇛ $\rm \frac{7x+10}{2x+10}=\frac{9}{4}$

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⇛ 18x + 90 = 28x + 40

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⇛ 10x = 50

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$\sf \implies \boxed{x = 5}$

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Hence present age of father = 7x = 35yrs

$\rule{200}5$

Answer 2

•°• Present age of father is 35 years.