Difference of 2 number is 11 and their product is 60, find the sum of numbers ?

Question

LCM of two numbers is 60 times their HCF. If sum of LCM and HCF is 549. If one number is 45 then what is the other number?

Answer 1

The ans is 19

Numbers are 15 & 4

Comments

can you expand please

Answer 2

19
The two numbers are:
4 & 15

Answer 3

x-y=11
x*y=60{ x=60/y}
(60/y)-y=11
y^2+11y-60=0
(y-4)(y-15)=0
y=4,y=15
therefore the two numbers are 4 and 15
then the sum of two numbers are 19.

Comments

The factorize is wrong

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Just do it in your head. Takes about 10 seconds. No need for equations. The answer is intuitively obvious.