Question

The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number

Answer 1

8

Explanation:

Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...

3 + 1/x = 25/x

Subtracting 1/x, we have ...

3 = 24/x

x = 24/3 = 8 . . . . . . . . multiply by x/3

The number is 8.