Question
Thu June 28, 2012 By: Medha
 

two numbers are in the ratio 15:11. if their HCF is 13 and LCM is 2145. find the numbers.

Expert Reply
Thu June 28, 2012
Two numbers are in the ratio 15: 11. So, let the numbers be 15x and 11x.
 
We know:
Product of two numbers is equal to the product of their LCM and HCF.
 
So, we have:
(15x) (11x) = (2145) (13)
x2 = 132
so, x = 13
 
Thus, the two numbers are 195 and 143.
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