Question

Divide 40 into 2 parts such that the sum of their reciprocal is 8/75

Answer 1

let the parts be X and Y.

X + Y = 40.........[1]

[1/X] + [1/Y] = 80/7

X + Y / XY = 80/7

XY = 7/2

From here find X and Y.

Hope this helps you