The sum of two numbers is 2800 and their HCF is 7, how many pairs of such numbers are possible?

Question

Answer 1

80
take the numbers as 7a, 7b where a, b are co-primes; we get a+b = 400; we need to find no. of co-primes of 400 that are less than 400 and divide them by 2 for number of pairs

Answer 2

80
take the numbers as 7a, 7b where a, b are co-primes; we get a+b = 400; we need to find no. of co-primes of 400 that are less than 400 and divide them by 2 for number of pairs

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The sum of two numbers is 2800 and their HCF is 7, how many pairs of such numbers are possible?