Question

Three numbers added together total 180 the second number is twice the first, and the third is three times the first. Find each number

Answer 1

I think it is clear to you

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

$\text{1st number = 30}$

$\text{2nd number = 60}$

$\text{3rd number = 90}$

$\textbf{\underline{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

The sum of the 3 numbers = 180

Secound number = twice of first number

Third number = thrice if the first number

$\textsf{\underline{\underline{To find :}}}$

The each number

$\textsf{\underline{\underline{Solution : }}}$

Consider 1st number as x

Consider 2nd number as 2x

Consider 3rd number as 3x

So, Equation =

$\tt{\implies \: x + 2x + 3x = 180}$

$\tt{\implies6x = 180}$

$\tt{\implies \: x = \dfrac{180}{6} }$

$\tt{\implies \: x = 30}$

${\boxed{\bigstar{\sf\:{1st Number = 30}}}}$

Value of 2x

$\tt{\implies2 \times 30}$

$\tt{\implies60}$

${\boxed{\bigstar{\sf\:{2nd \: number = 60}}}}$

Value of 3x

$\tt{\implies3\times 30}$

$\tt{\implies90}$

${\boxed{\bigstar{\sf\:{3rd\: number = 90}}}}$

$\therefore$$\text{1st number = 30}$

$\text{2nd number = 60}$

$\text{3rd number = 90}$

$\textbf{\underline{\underline{Verification :-}}}$

$\tt{\implies30 + 60 + 90 = 180}$

$\tt{\implies90 + 90 = 180}$

$\tt{\implies180 = 180}$

${\boxed{\sf\:{LHS = RHS}}}$

$\therefore$$\text{1st number = 30}$

$\text{2nd number = 60}$

$\text{3rd number = 90}$