Question

The sum of 2 number is 8. Find the numbers if the sum of their reciprocal is 8/15.

Answer 1

Answer:

The two numbers are 3 and 5.

Step-by-step explanation:

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.

Answer 2

This is correct answer for this question. mark as brainliest answer plz..