Question

Sokution of find two numbers whose sum is 15 and sum of their recuprocals is 3)10

Answer 1

Let one of the numbers be x. Other number is (15 - x) Sum of their reciprocals = 3/10 1/x + 1/(15 - x) = 3/10 (15 ) / (15x - x2) = 3/10 150 = 45x - 3x2 3x2 - 45x + 150 = 0 x2 - 15x + 50 = 0 (x - 10)(x - 5) = 0 x = 10 or 5 Therefore, the numbers are 10 and 5. If x = 15