Question

The age of amith and Rahul are in the age of 15:8. Ten years from now the ratio of their ages will be 5:3 find their ages

Answer 1

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

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

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• Age of Amith and Rahul are in ratio 15 : 8

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• Ten years from now the ratio of their ages will be 5:3

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

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• Find their ages

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

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Present age of Amith be '15x'

Present age of Rahul be '8x'

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$\underline{\bold{\texttt{Ten years later ages will be :}}}$

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• Amith = 15x + 10

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• Rahul = 8x + 10

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

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$\sf \longmapsto \dfrac { 15x + 10 } { 8x + 10 } = \dfrac { 5 } { 3 }$

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$\sf \longmapsto 45x + 30 = 40x + 50$

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$\sf \longmapsto 45x - 40x = 50 - 30$

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$\sf \longmapsto 5x = 20$

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$\sf \longmapsto x = \dfrac { 20 } { 5 }$

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$\bf \dashrightarrow x = 4$

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Hence,

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$\underline{\bold{\texttt{Present ages will be:}}}$

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• Amith = 15(4) = 60 yrs

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• Rahul = 8(4) = 32 yrs

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$\rule{200}5$