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The sum of two numbers is 588 and their HCF is 49. How many such pairs of numbers can be formed?

 
12
2
10
4

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I am not able to understand why in the explanation, only prime numbers pairs are taken. since, it is not mentioned anywhere in the question about prime numbers pair. Please Clarify.

hey buddy

 

588 ➗ 49 will give you 12. So there would be 12 multiples are possible.

It is given in the question that two numbers are prime numbers ie 49x,49y. since 49 is not a prime number then x and y must both be prime