Question

two numbers are in the ratio 5:3. If they differ by 18, what are the numbers.
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Answer 1

Answer:

let the two numbers be 5x and 3x

there difference is 18 therefore

5x-3x=18

2x=18

x=18 upon 2

x=9

first no. is 5x

=5(9)

=45

second no is 3x

=3(9)

=27

therefore two numbers are 45 and 27

Answer 2

GIVEN:

• Two numbers are in the ratio 5:3
• The numbers are differ by 18.

TO FIND:

• What are the numbers ?

SOLUTION:

Let 'x' be the common in given ratios

• First Number = 5x
• Another number = 3x

We have given that, the numbers are differ by 18

According to question:-

$\sf{\longrightarrow 5x - 3x = 18}$

$\sf{\longrightarrow 2x = 18}$

$\sf{\longrightarrow x = \cancel\dfrac{18}{2}}$

$\bf{\longrightarrow \star \: x = 9 \: \star}$

❝ The value of 'x' is 9 ❞

Put the value of 'x' in numbers:

➜ $\sf{ 5(9) = 45}$

➜ $\sf{ 3(9) = 27}$

❝ Hence, the two numbers are 45 and 27 ❞

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