Question

two numbers are in the ratio 5:3. if they differ by 18, what are the numbers.​

Answer 1

$\large\underline \red{\sf{Solution}}$

$\large\underline \pink{\sf{given - numbers \: in \: ratio \: 5:3 }}$

$\large\underline \pink{\sf{they \: differ \: by \: 18}}$

$\large\underline \green{\sf{let \: the \: number \: be \: x}}$

$\large\underline \green{\sf{So \: the \: equation \: formed \: is}}$

$\large\underline \green{\sf{5x = 3x + 18}}$

$\large\underline \green {\sf{on \: solving \: the \: equation}}$

$\large\underline \green{\sf{5x - 2x = 18}}$

$\large\underline \green{\sf{2x = 18}}$

$\large\underline \green{\sf{x = 18 \div 2}}$

$\large\underline \green{\sf{x = 9}}$

$\large\underline \green{\sf{5x = 5 \times 9 = 45}}$

$\large\underline \green{\sf{3x = 3 \times 9 = 27}}$

$\large\underline \blue{\sf{verification}}$

$\large\underline \blue{\sf{according \: to \: the \: question \: they}}$

$\large\underline \blue{\sf{differ \: by \: 18}}$

$\large\underline \blue{\sf{45 - 27 = 18}}$

$\huge\underline \blue{\sf{hence \: verified}}$