Question

Present ages of anil and sunil are in the ratio 4 is to 5 8 years from now the ratio of the ages will be 5 ratio 6 find their present ages

Answer 1

$\sf Ratio \: of\: their \: ages= 4:5$

$\sf Let \: the \: age \: of \: Anil\ be\ 4x\ and \ age \ of \ Sunil\ be \ 5x\ .$

$\sf After\ 8\ years \ :$

$\sf Age\ of\ Anil \ = 4x+8\\\sf Age\ of \ sunil \ = 5x+8$

$\sf Ratio \ of \ their \ ages = 5:6$

$\rm \longrightarrow \frac{4x+8}{5x+8} =\frac{5}{6} \\\\\rm \longrightarrow 6(4x+8)=5(5x+8)\\\\\rm \longrightarrow 24x+48=25x+40\\\\\rm \longrightarrow 25x-24x=48-40\\\\\rm \bf\Longrightarrow x =8$

$\rm Present \ age \ of \ Anil = 32\\\rm Present \ age \ of \ Sunil = 40$

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