the lcm of two numbers is45and their hcf is5how many such pairs of numbers are possible
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As both the numbers have the highest common factor 12 it clearly means that the both the numbers are the multiples if 12
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)
Hope it helps
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