Question

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

Answer 1

Answer:

let nos. be 5x and 3x

5x -3x =18

2x=18

x=18/2

x=9

3x=3*9=27

5x=5*9=45

Answer 2

☯ Let their ratio be in term of x.

So, The two numbers are 5x and 3x.

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$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: According\: to\: Question :}}}}}\mid}$

☯ Difference of the numbers is 18.

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$:\implies\sf 5x - 3x = 18$

$:\implies\sf 2x = 18$

$:\implies\sf x = \cancel{ \dfrac{18}{2}}$

$:\implies{\boxed{\frak{\pink{x = 9}}}}\;\bigstar$

☯ Therefore, The required two numbers are,

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• 5x = 5 × 9 = 45

• 3x = 3 × 9 = 27

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$\therefore\;{\underline{\sf{Hence,\;the\;two\;numbers\;are\;45\;and\;27.}}}$

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$\qquad\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: Verification :}}}}}\mid}$

We know that,

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☯ Difference of the numbers is 18.

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$:\implies\sf 45 - 27$

$:\implies{\boxed{\frak{x = 18}}}\;\bigstar$