The HCF of two numbers is 13 and their LCM is 273. How many such pairs of numbers are possible.(a) 1. (b)2. (c)3. (d)none of these
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HCF is 13 .
Means there is definitely one 13 in the LCM
Let's take it out,and see what except 13 is in LCM.
Then we will get, 27313=21
Means there is 21 in LCM.
As we know 21=7×3
But HCF is 13 of the two numbers.
So,two numbers are 13×3=39 & 13×7=91.
Sum will be 39+91=130.
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