Question

The difference of two numbers is 4. If the difference of their reciprocals is , find the numbers.

Answer 1

Answer:

suppose one number be X then other be 1/x

Answer 2

The two numbers are 7 and 3

Step-by-step explanation:

Let the number be x and y.

Then it is given that x - y = 4 ----------(1)

1/y - 1/x =  4/21

21x - 21y = 4xy --------------(2)

From equation 1, we get x = 4+ y. Substituting x in equation 2, we get:

y2 +4y - 21 = 0

Solving the quadratic equation, we get y = -7 and 3.

Substituting in equation 1, we get x = 7.

So the two numbers are 7 and 3.