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The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible

The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible
1). 1
2). 2
3). 3
4). 4

This Question has 2 answers.

Correct answer is: option 3

HCF of two numbers = 4.

Hence, the numbers can be given by 4x and 4y where x and y are co-prime.

Then, 4x + 4y = 36

4 (x + y) = 36

x + y = 9

Possible pairs satisfying this condition are : (1, 8), (4, 5), (2, 7)

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