Question

The difference between two positive numbers x and y is 4 and the difference between their reciprocal is 4÷21. Find the numbers.

Answer 1

x-y=4

1/x - 1/y = 4/21

therefore; x-y/yx = 4/21

Substitute first equation into second;

4/yx = 4/21

therefore yx = 21

x-y=4

xy=21

therefore x and y are 7 & 3