Question

The sum of two numbers a and b is 15 and the sum of their reciprocal 1/a amd 1/b is 3/10 find a and b

Answer 1

Answer:

two numbers are 5 & 10

Step-by-step explanation:

a + b = 15

1/a  + 1/b = 3/10

b + a = 3ab/10

15 = 3ab/10

ab = 50

a(15-a) = 50

a^2 - 15a + 50 = 0

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

(a-5)(a-10) = 0

a = 5 or 10

b = 10 or 5