A number theory problem by Harshi Singh
Number Theory
Level
pending
X+Y=55,LCM=120,HCF=5.WHERE X AND Y ARE THE NUMBERS WHOSE HCF AND LCM IS GIVEN .FIND THE SUM OF X AND Y RECIPROCALS GIVE YOUR ANSWER UPTO 3 DECIMAL PLACES
The answer is 0.092.
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1 solution
x+y=55(given) 1\x+1\y =(x+y)/xy we know xy=LCM(x,y)×hcf(x,y) =120*5=600 therefore (x+y)/xy=55/600. = 0.091 correct up to three decimals