Question

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

Answer 1

Given :

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

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To find :

• What are the numbers

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Solution :

• In the question Two Numbers are in ratio so we will let the numbers be 5x and 3x and they are differ by 18. Firstly we will find the value of x and find the required numbers

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$\large \pink \star \:$Let First Number = 5x

$\large \pink \star \:$Let other Number = 3x

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$~~~~~~$➤ 5x - 3x = 18

$~~~~~~$➤ 2x = 18

$~~~~~~$➤ x = 18/2

$~~~~~~$➤ x = 9

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5x = 5 × 9 = 45

3x = 3 × 9 = 27

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$\therefore$The numbers are 45 and 27.

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Answer 2

Given :

• Ratio of two numbers = 5:3
• There difference is 18.

To Find :

• The Numbers

Solution :

✰ In this question, it is given that the ratio of two numbers is 5:3 and their difference is 18 and we have to find the numbers. Now for finding the numbers we will assume the first number as 5p and second number be 3p . Now According to the Question the difference of the number should be 18 therefore :

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⠀⠀⠀⠀⟼⠀⠀⠀⠀5p - 3p = 18

⠀⠀⠀⠀⟼⠀⠀⠀⠀2p = 18

⠀⠀⠀⠀⟼⠀⠀⠀⠀p = 18/2

⠀⠀⠀⠀⟼⠀⠀⠀⠀p = 9

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Therefore :

• First Number = 5p = 5 × 9 = 45
• Second Number = 3p = 3 × 9 = 27

Hence the Required numbers are 45 and 27.

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