Question

c) Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers ?​

Answer 1

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$\huge\color{cyan}\boxed{\colorbox{black}{Question ❤}}$

Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers ?

$\huge\color{cyan}\boxed{\colorbox{black}{Answer ❤}}$

$\Huge{\color{magenta}{\fbox{\textsf{\textbf{45 and 27}}}}}$

$\huge\color{cyan}\boxed{\colorbox{black}{Given ❤}}$

Two numbers are in the ratio 5:3.

There difference is 18

$\huge\color{cyan}\boxed{\colorbox{black}{To find ❤}}$

the numbers

$\huge\color{cyan}\boxed{\colorbox{black}{solution ❤}}$

Let us assume the ratio 5 :3 be 5x and 3x respectively,

Since, there they difference = 18.

$ATQ \\ \\ ⇒ 5x - 3x = 18 \\⇒ 2x = 18 \\ \\ ⇒ x = \frac{18}{2} \\ \\ ⇒ x = 9$

$now \: putting \: the \\value \: of \: x \: = 9 in\\ \\ ⇒ 5x \\ =5(9) \\ = 45 \\ \\ ⇒ 3x \\ = 3(9) \\ = 27$

$Therefore \\ the \: numbers \: are \: 45 \: and \: 27, \\ which \: are \: in \\ the \: ratio \: 5:3.$

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