Question

find two consecutive integers between which the following rational numbers lie = 13/4

Answer 1

$let \: the \: numbers \: are \: x \: and \: (x + 1). \\ atq. \:( x + x + 1) \times \frac{1}{2} = \frac{13}{4} \\ 2x + 1 = \frac{13}{2} \\ 4x + 2 = 13 \\ 4x = 11 \\ x = \frac{11}{4} \\ and \: (x + 1) = ( \frac{11}{4} + 1) \\ = \frac{15}{4}$