Question

Find two consecutive odd integers such that two fifth of a small exeeds two ninth of the greater by 4

Answer 1

Let the consecutive odd integers be x and x+2
Given,
$\frac{2}{5} \times x = \frac{2}{9} \times (x + 2) + 4 \\ \frac{2x}{5} - \frac{2x}{9} = \frac{4}{9} + 4 \\ \frac{8x}{45} = \frac{40}{9} \\ x = \frac{40 \times 45}{9 \times 8} = 25$
Therefore consecutive odd integers are
25 and 27