Question

7. The sum of two numbers is 40 and the sum of their reciprocals is 2/5. Represent this in aquadratic equation.​

Answer 1

Answer:

Let be the numbers x and y.

x+y = 40

Sum of reciprocal = sum of the numbers/their product

x+y/ xy = 2 /5

40/ xy = 2/5

As we know, 40 should be the product of 20 and 2.

Therefore,

xy = 20 × 5

And,

x = 20

y = 5