Question

90 in the ratio of 2:3:7

Answer 1

$\huge{\bold{\boxed{\star{Concept \:behind:-}}}}$

$\sf\textsf{Basic arithmetic and a small bit of logical reasoning.}$

$\huge\textrm{Now:-}$

$\sf{So,\: let\: the\: ratio\: be \:{\boxed{\bold{\underline{2x,\:3x\: and \:7x\: respectively.}}}}}$

$\sf\textsf{Then their sum would be 90.}$

$\huge\texttt{ATQ:-}$

$\implies{2x+3x+7x=90}$

$\implies{12x=90}$

$\implies{x=90/12}$

$\implies{\boxed{\bold{\underline{\star{x=15/2}}}}}$

$\sf\textsf{So, the ratios are:-}$

$\implies{\boxed{\bold{\underline{2x=2×15/2=15}}}}$

$\implies{\boxed{\bold{\underline{3x=3×15/2=45/2}}}}$

$\implies{\boxed{\bold{\underline{7x=7×15/2=105/2}}}}$

$\huge{\underline{\bold{Verification:-}}}$

$\sf\textsf{All the outcomes that we got, should add up to 90, and if they do so, then our answer is correct.}$

$\textbf{105/2+45/2+15=90}$

$\sf\textsf{So, our answer is correct, hence verified.}$

Answer 2

90=2x+3x+7x=12x

x=90/12=7.5

2x=15

3x=22.5

7x=52.5

hence,90 in ratio 2:3:7 is 15:22.5:52.5.