Question

What same number should be added to each one of the numbers 15,23,29,44 to obtain numbers which are in proportion?

Answer 1

$\huge\bf{\purple{Question:-}}$

$\large\sf{\red{What\: same \:number\: should \:be \:added \:to \:each \:one\: of}}\\ \large\sf{\red{the\: numbers \:15,23,29,44\: to\: obtain\: numbers\: which}}\\ \large\sf{\red{are\: in\: proportion?}}$

$\huge\bf{\blue{Answer:-}}$

$\sf{15+x:23+x::29+x:44+x}$

$\large\bf{\green{Then,}}$

$\sf{\green{Cross\: Multiply\:Them}}$

➙$\sf{\frac{15+x}{23+x}\times{\frac{29+x}{44+x}}}$

➙$\sf{(15x)+(44x)=(23+x)(29+x)}$

$\large\bf{\orange{Then,simplify}}$

➙$\sf{x²+59x+660=x²+52x+667}$

$\large\bf{\green{Then,}}$

➙$\sf{7x=7}$

➙$\sf{x=1}$

$\huge\bf{\pink{Hence,}}$

$\large\bf{\green{The \:no\:. is\: =\:1}}$

$\large{\fcolorbox{black}{orange}{Happy\:\:\:\:\:}}$

$\large{\fcolorbox{black}{white}{Republic\:}}$

$\large{\fcolorbox{black}{green}{\:\:\:Day\:\:\:\:\:\:\:}}$