1.

The sum of two numbers is 231 and their HCF is 21. How many pairs of such numbers are there?1). 12). 23). 34). 5

Answer»

According to the given information,

HCF of the two NUMBERS =21

∴let the two numbers be 21x and 21Y where x and y are coprime.

21x + 21 y = 231

21 (x + y) = 231

x + y = 11

∴possible pairs of x and y are (9, 2), (8, 3), (7, 4), (6, 5), (1, 10)

∴ Numbers would be (189, 42), (168, 63), (147, 84), (126, 105), (21, 210)


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