Question

The sum of three consecutive multiples of 9 is 3 351 find these multiples

Answer 1

$\bf\purple{\underline{\boxed{Question}}}$

$\:$

$\small\text{The sum of three consecutive multiples }\\{\small\text{of 9 is 351. Find these multiples }}$

$\:$

$\bf\purple{\underline{\boxed{Solution}}}$

$\:$

✏

$\small\text{let the first number is x}$

$\:$

$\small\text{Second number will be x + 9 }$

$\:$

$\small\text{And the}\\{\small\text{Third consecutive number will be}}\\{\small\text{ x + 9 + 9 = x + 18 }}$

$\:$

$\small\text{now , the sum of three consecutive}\\{\small\text{number is 351 }}$

$\:$

$\small\text{x + x + 9 + x + 18 = 351 }$

$\small\text{3x + 27 = 351 }$

$\small\text{3x = 351 - 27 }$

$\small\text{3x = 324}$

$\small\tt{x\: =\:{\frac{324}{3}}}$

$\small\text\red{x = 108}$

$\:$

$\small\text{Therefore the numbers are ,}$

$\:$

$\small\sf{first\: number\:}\\\\{\small\sf\red{ \rightarrow\:\: 108}}$

$\:$

$\small\sf{second\: number\:}\\\\{\small\sf\red{\rightarrow\:\: x\:+\:9\:=\:108\:+\:9\:=\:117}}$

$\:$

$\small\sf{and \:the\: third\: no.\:}\\\\{\small\sf\red{\rightarrow\:\: x\:+\:18\:=\:108\:+\:18\:=\:126}}$

$\:$

$\small\text{Sum = 108 + 117 + 126 = 351}$

$\:$

$\small\text{So 108 , 117 , 126 are the three consecutive }\\{\small\text{multiples of 9 whose sum is 351 }}$

$\:$

$\bf\purple{\underline{\boxed{Thanks}}}$