Question

One-fourth of a number is greater than one-fifth of the number succeeding it by 1. find the number.

a.24

b.42

c.36

d.48

Answer 1

Let the number be x.
Number succeeding it is x + 1.
$\frac{1}{4} x = \frac{1}{5} (x + 1) + 1$
$\frac{1}{4} x = \frac{x+6}{5}$
                      5x = 4x + 24
                        x = 24
Therefore, the number is 24