Math, asked by ujjwalgamer47, 4 months ago

divide 180 into two parts in ratio 2: 3​

Answers

Answered by saanvigrover2007
3

 \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}

Answered by shrishti8875
2

Answer:

°√We have to divide 180 in two parts such that they should be in ratio 3:2 . So, Let us take the ratio as "x". According to question, we should get 180 when we add 3x and 2x.

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