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CBSE Class 10 Answered

The sum of two numbers is 629 and their hcf is 37. the number of pairs satisfying the above condition
Asked by ayan1.chatterjee | 08 May, 2021, 11:32: AM
answered-by-expert Expert Answer
HCF of the two numbers is 37.
So, the two numbers can be 37x and 37y where x and y are co-prime numbers.
As per the question,
37x + 37y = 629
x + y = 17
The possible pairs of numbers are (1, 16), (2, 15), (3, 14), (4, 13), (5, 12), (6, 11), (7, 10) and (8, 9).
Answered by Renu Varma | 11 May, 2021, 10:23: AM
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