Question

The LCM of two numbers is 630and hcf is 9 . If the sum of the numbers is 153 the difference is?

Answer 1

Let
the first no is x
and second no is y
Given that:
x+y=153
LCM=630
HCF=9
then,
x-y=?
we know,
first no×second no=LCM×HCF
xy=630×9
xy=5670
(x+y)^2=x^2+y^2+2xy
(153)^2=x^2+y^2+11340
x^2+y^2=23409-11340
x^2+y^2=12069
(x-y)^2=x^2+y^2-2xy
(x-y)^2=12069-11340
(x-y)^2=729
(x-y)=27
If my answer is right....
plzz mark me as brainliest..