Question

The difference of two number is 4 and the difference of their reciprocal is 4 by 21 find the number

Answer 1

Let the two nos be x and y

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