HCF of 2 numbers is 24 and their LCM is 1344, if difference between the numbers is 80, find their sum.

Let x and y be the numbers.
We know that
xy= HCF *LCM
xy=24*1344=32256

Given x-y=80
Squaring,
x²+y²-2xy=6400
x²+y²-2(32256)=6400
x²+y²-64512=6400
x²+y²=70912

Now (x+y)²=x²+y²+2xy=70912+2(32256)=135424
x+y=368