Question

two numbers are in the ratio 5:3 if they differ by 18 what are the numbers​

Answer 1

Answer:

Let us consider the ration of two numbers be x

The two numbers are 5x and 3x

Since two numbers differ by 18, we can write the equation

5x – 3x = 18

2x = 18

x= 9

Therefore the two numbers are

5x = 5 x 9 = 45 , and

3x = 3 x 9 = 27

∴ The two numbers are 45 and 27.

Thanks

Answer 2

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$\large{\red{\underline{\underline{\textsf{\maltese\:{\red{Given :}}}}}}}$

$\sf{Numbers\: are\: in \:the \:ratio\: 5:3\:and}$ $\sf{They\: differ\: by\: 18}$

$\large{\red{\underline{\underline{\textsf{\maltese\:{\red{To\:Find:}}}}}}}$

$\sf{The\: numbers = ?}$

$\large{\red{\underline{\underline{\textsf{\maltese\:{\red{Solution:}}}}}}}$

$\sf{Let\: the \:ratio\: of \:two\: numbers \:be\: x}$ $\sf{The\: two\: numbers\: are\: 5x \:and\: 3x}$

$\small\underline{\boxed{\sf\;\;As\:the \:two \:numbers\: differ \:by\: 18,}}$

$\sf{We\: can \:write\: the \:equation \:as:}$

$\sf{5x – 3x = 18}$

$\sf{2x = 18}$

$\sf{x= 9}$

$\sf{Therefore \:the\: two \:numbers\: are:}$

$\sf{5x = 5 \times 9 = 45}$

$\sf{3x = 3 \times 9 = 27}$

$\sf{Hence, \:The\: two \:numbers\: are \:45\: and \:27}$