I think I managed to translated your "English" to
"The LCM of two numbers is 495 and their HCF is 5. When adding the two numbers we get 100.
What is the difference between the two numbers ? "
495 = 5 x 9 x 11
both must divided by 5, one is multiple of 9 , the other a multiple of 11
how about 45 and 55
their HCF is 5
their LCM is 495 and their sum is 100
Then their difference is 55-45 = 10
Two number LCM is 495 & Two number HCF is 5. When we do Plus those number we find 100 number what diffrance bitween those number.
2 answers
let us two numbers are x, (100-x)
x.(100-x)=495*5
100x-x^2=2475
x^2-100x+2475=0
x^2-55x-45x+2475
x(x-55)-45(x-55)
x=55 or x=45
difference is 55-45=10
thanks
x.(100-x)=495*5
100x-x^2=2475
x^2-100x+2475=0
x^2-55x-45x+2475
x(x-55)-45(x-55)
x=55 or x=45
difference is 55-45=10
thanks