Question

103. The sum of two numbers is 187 and their HCF is 17. What is the number of such pairs numbers satisfying the above condition?



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Answer 1

Answer:

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question:-

The sum of two numbers is 187 and their HCF is 17. What is the number of such pairs numbers satisfying the above condition?

solution:-

If we factor out the 17, this is equivalent to asking the number of pairs of coprime numbers that add up to 11. The pairs of natural numbers that satisfy this condition are {1,10},{2,9},{3,8},{4,7} and {5,6}. So there are five pairs, {17,170},{34,153},{51,136},{68,119},{85,102}. and for some integers a and b.

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Answer 2

Answer:

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