Question

The sum of two numbers is 8 and the sum of their reciprocals is
8/15
Find the numbers.
Pls Answer Fast.....​

Answer 1

Let one number be X. The other number be Y. GIVEN, X+Y=8 X=8-Y ---------------(1) 1/X+1/Y=8/15 BY SIMPLIFING 1/X+1/Y=8/15 WE GET, (X+Y)/XY=8/15 FROM (1) WE GET, 8/8Y-Y2=8/15 Y2-8Y+15=0 (Y - 3)(Y - 5) = 0 Y = 3 or 5 WE KNOW THAT X+Y=8 When Y=5, X=3 When Y = 3, X = 5   Thus, the two numbers are 3 and 5.