Question

Anumber is divided in the ratio 9:11
First part is72. Find the number,​

Answer 1

$\sf{Let \: us \: consider \: the \: ratio \: as \: 'x}$

$\sf{So \: , the \: ratio \: will \: become :}$

$\sf{9x : 11x}$

$\sf{We \: are \: aware \: that \: 9x = 72}$

$\longrightarrow{\sf{9x = 72}}$

$\longrightarrow{\sf{x = \dfrac{72}{9}}}$

$\longrightarrow{\sf{x = \cancel{\dfrac{72}{9}}}}$

$\longrightarrow{\sf{x = 8}}$

$\sf{As \: we \: have \: found \: 'x' \: we \: need \: }$

$\sf{substitute\: the\: values :}$

$\sf{9x \rightarrow 9 \times 8 = 72}$

$\sf{11x \rightarrow 11 \times 8 = 88}$

$\sf{So, \: following \: the \: Question \: we \: will \: add : }$

$\longrightarrow{\sf{72 + 88}}$

$\large{\boxed{\implies{\sf{160}}}}$

The number is 160.

Answer 2

Your Answer :-

Let the ratio be x.

So, The Ratio Will Be $\sf\red{9x : 11x.}$

We Are Given That First Part is 72.

So, $\sf\blue{9x = 72}$

Now, We Will Find The Value Of x.

$\sf\pink{x = \dfrac{72}{9} }$

$\therefore\sf\orange{x = 8}$

If X = 8, Then

9x = 9 × 8 = 72.

11x = 11 × 8 = 88.

So, The Number :-

$\sf\purple{72 + 88 = 160}$