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Question
Two numbers are in the ratio 21: 17. If their HCF is 5, the numbers are ______ and ______.
Fill in the Blanks
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Solution
Two numbers are in the ratio 21: 17. If their HCF is 5, the numbers are 85 and 105.
Explanation:
Let the numbers be 21k and 17k.
Since 21 and 17 are coprime, HCF = k.
Given HCF = 5, so k = 5.
Thus the numbers are 21 × 5 = 105 and 17 × 5 = 85.
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