Question

The sum of two numbers is ten. Their product is 20. Can you find the sum of the reciprocals of the two numbers​

Answer 1

Answer:

1/2

Step-by-step explanation:

If you are given the sum and the product of 2 numbers, it always possible to determine the sum of reciprocals (of these two numbers) without finding the actual numbers.

1/a + 1/b = (b+a) / (a*b)

We already know (a+b) as also (a*b), therefore, 1/a + 1/b = 10 / 20, which is nothing but 1/2.

Thus 1/2 is the required answer.