Question

number is divided in the ratio of 7 is to 5 if the second part of the number is 150 then find the number

Answer 1

Ratio of number 1 : number 2 = 7 : 5 (given)

Define x:

Let x be the constant ratio:

Ratio of number 1 : number 2 = 7x : 5x

Solve x:

Given that the 2nd number is 150

5x = 150

x = 150 ÷ 5 = 30

Find the number:

7x + 5x = 12x

Since x = 30 (found earlier)

12x = 12(30) = 360

Answer: The number is 360

Answer 2

$\large {\huge{ \color{red}{ \mathfrak{ \star \: thanks \: for \: your \: question \star}}}}$

$\large {\huge{ \color{green}{ \mathfrak{ required \: answer}}}}$

$\bold{ \small{let \: to \: be \: number \: x}}$

$\bold{ \small{ratio \: of \: required \: answer}}$

$\bold{ \huge{7x \binom{.}{.}5x}}$

$\bold{ \small{also \: given}}$

$\bold{ \huge{ = )5x = 150}}$

$\bold{ \huge{x = \frac{150}{5} = 30}}$

$\bold{ \small{now \: putting \: the \: value \: of \: x \: in \: another \: given \: number}}$


$\bold{ \huge{required \: number}}$


$\bold{ \huge{7x + 5x}}$


$\bold{ \huge{12x}}$

$\bold{ \huge{12(30) = 360}}$