Question

two number are in the ratio 6:4 and their sum in 150, find the numbers?​

Answer 1

let, the common ratio be x

so, the two numbers are in ratio of 6x:4x

and their sum is 150.

6x + 4x =150

10x = 150

x= 15

the two numbers are 60 and 90.

Answer 2

$\huge{ \underline{ \underline{ \mathfrak{ \color{magenta}{question}}}}}$

Two number are in the ratio 6:4 and their sum in 150, find the numbers?

$\huge{ \red{ \underline{ \underline{ \mathfrak{ \color{orange}{answer}}}}}}$

$\tt{the \: numbers \: are \: \blue{90} \: and \: \blue{60}}$

$\huge{ \color{aqua}{ \underbrace{ \underline{ \color{lime}{ \mathbb{✯꧁᭄⋆SoLuTiOn⋆᭄꧂✯ }}}}}}$

$\tt{ratio \: of \: the \: numbers = 6 \ratio4}$

$\tt{sum \: of \: the \: numbers \: is \: 150}$

$\tt{let \: the \: numbers \: be} \\ \tt{ = 6x \: and \: 4x}$

$\tt{ \to6x + 4x = 150}$

$\tt{ \to10x = 150}$

$\tt{ \to \: x = \frac{15 \cancel0}{1 \cancel0} }$

$\tt{ \to \: x = 15}$

$\tt{now \:put\: the \: value \: of \: x \: on\: the \: ratio}$

$\tt{ \to6x = 6(15) = \red{90}}$

$\tt{ \to4x = 4(15) = \red{60}}$

$\huge{ \underbrace{ \mathfrak{ \green{verification}}}}$

$\tt{ \to6x + 4x = 150}$

$\to90 + 60 = 150$

$\to150 = 150$

$\boxed{ \tt{ \red{verified}}}$