Question

Divide 180 into two part which are in the ratio 3:2​

Answer 1

Answer:

let the ratio be 3x&2x

3x+2x=180 since we have to divide 180 in the ratio of 3:2

5x=180x

x=180/5

x=36

Answer 2

$\sf \color{lime}{Question : }$

$\sf{divide \: 180 \: into \: two \: parts \: in \: ratio \: 2: 3}$

$\sf \red{Analysis}$

As given, we need to find two numbers that satisfy the ratio 2:3 and their sum must me 180. So we can take 2x + 3x = 180. So we have got the equation, Let's get started

$\sf \color{maroon}{Solution}$

$\sf{ : : : \implies2x + 3x = 180}$

$\sf{ : : : \implies5x = 180}$

$\sf{ : : : \implies x = \frac{180}{5} }$

$\sf \blue{ : : : \implies x = 36}$

$\sf{now, \: let \: us \: find \: the \: value \: of \: 2x \: and \: 3x}$

$\sf \pink{ : : : \implies 2x = 36 \times 2 = 72} \\ \sf \pink{ : : : \implies3x = 36 \times 3 = 108}$

$\sf \green{Verification}$

$\sf \purple{ \underbrace{ \overbrace{72 + 108 = 180}}}$$\sf \huge\color{orange}{ \checkmark}$