Question

if the sum of two number is 15 and their Hcf is5 find all such possible pairs of numbers
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Answer 1

Answer:

So let the numbers be 12x and 12y

As given their sum is 84

ATQ,12x+12y=84

12 (x+y)=84

x+y=7

So the number of pairs with 7 as their sum are (1,6),(2,5),(3,4)

That is three pairs

So the numbers are (12,72),(24,60), (36,48)