Question

3.The ratio of two numbers is 2:5 and their difference is 63.The larger number is

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• Ratio of 2 numbers = 2 : 5
• Diff. btw. the numbers = 63

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• The larger number = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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• let the number be 2x and 5x

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Acc. to the question

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5x - 2x = 63

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3x = 63

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x = 63 / 3

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x = 21

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• putting value of x in the given ratio

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5x = 5 × 21 = 105

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2x = 2 × 21 = 42

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• Finding the greater one

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105 > 42

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• The required numbers are 105 and 42
• The larger one is 105

Answer 2

Answer:

✯ Given :-

• The ratio of two numbers is 2:5 and their difference is 63.

✯ To Find :-

• What is the larger number.

✯ Solution :-

» Let, the two number be 2x and 5x.

➣ According to the question,

⇒ 5x - 2x = 63

⇒ 3x = 63

⇒ x = $\sf\dfrac{\cancel{63}}{\cancel{3}}$

➠ x = 21

Hence, the required numbers are :-

❑ The first number = 2x = 2(21) = 42

❑ The second number = 5x = 5(21) = 105

$\therefore$ The larger number is 105 .

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