Question

two numbers are in ratio 5:3 its differ by 18. find the number​

Answer 1

Given -

• Two number in ratio = 5:3
• Difference by = 18

To -

• Find the numbers.

Solution -

Let the common ratio be x

so,

5 = 5x

3 = 3x

And there difference is by 18, so making a linear equation as -

→ 5x - 3x = 18

→ 2x = 18

→x = $\sf\cancel{\dfrac{18}{2}}$

→ x = 9

Multiplying -9 by 5x and 3x -

→ 5x = (5 × 9) = 45

→ 3x = (3 × 9) = 27

$\therefore$ the 2 numbers are 45 and 27

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Answer 2

Hello !

Given:-

• Ratio between the no.s = 5:3
• Difference between the two no.s = 18

To find:-

• The no.s

Solution:-

Let's assume the no.s as 5x and 3x

According to the question:-

$\implies$ 5x-3x = 18

$\implies$ 2x = 18

$\implies$ x = 18/2

$\implies$ x = 9.

Hence, the no.s are :-

$\implies$ 5x = 5(9) = 45

$\implies$ 3x = 3(9) = 27.