Question

The sum of 2 numbers is 407.the sum and difference of their L.C.M and H.C.F are 925 and 851 respectively. The difference of 2 numbers is also find 2 numbers?

Answer 1

Let lcm be x and HFC be y
X+y=925................................................................1
Y-x=851(since hcf is greater than lcm)...........2
Solving for 1&2
Y=888....sub in 1
X=37
Lcm*hcf= product of 2 numbers
Let the two nos be a and b
888*37=ab
32856=ab.................................................3
Also a-b=2
A=b+2.........................................................4
Sub 4 in 3
B(b+2)=32856
B^2+2b-32856=0
Ans in coming in root something is wrong in question
I spent a lot of time please give brainiest answer