Question

Find two numbers whose sum is 15 and the sum of their reciprocal is 3/10

Answer 1

Answer:

5 & 10

Step-by-step explanation:

Numbers are

X and 15-X

1/X + 1/(15-X) = 3/10

10(15-X) + 10X = 3X(15-X)

150 = 3(15X- X^2)

50 = 15X - X^2

X^2 -15X + 50 = 0

X^2 - 10X -5X +50 = 0

X(X-10)-5(X-10) = 0

(X-5)(X-10) = 0

X = 5 & 10

Other number 10 & 5

So numbers 5 & 10