1. The LCM of two numbers is 45 and their HCF is 5. How many such pairs of numbers
are possible?
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Step-by-step explanation:
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
according to the question :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)
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