top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

L.C.M of two numbers is 156 and their H.C.F is 2. If the sum of the numbers is 38, then what is their difference?

+1 vote
130 views
L.C.M of two numbers is 156 and their H.C.F is 2. If the sum of the numbers is 38, then what is their difference?
posted Mar 13, 2018 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

a + b = 38
a × b = H.C.F × L.C.M = 156 × 2 = 312
(a + b )^2 - (a - b)^2 = 4ab
(a - b) = ((a + b)^2 - 4ab)^(0.5) = ((38^2) - (4 × 312))^0.5 = 14
a = 26 & b = 12.

answer Mar 13, 2018 by Tejas Naik
...