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Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
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Answer: Two numbers which are in the ratio 5:3 differing by 18 are 45 and 27.
Let's express the information in mathematical terms.
Explanation:
Let the numbers be 5x and 3x respectively, as their ratio is 5:3.
They differ by 18.
⇒ 5x - 3x = 18
⇒ 2x = 18
⇒ x = 18/2
⇒ x = 9
⇒ 5x = 5(9) = 45
⇒ 3x = 3(9) = 27
Thus, the numbers are 45 and 27, which are in the ratio 5:3. If they differ by 18.
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