Question

Find two consecutive integers between which the rational number 29/4 lies.

Answer 1

\begin{gathered}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}\end{gathered}

letthenumbersarexand(x+1).

atq.(x+x+1)×

2

1

=

4

13

2x+1=

2

13

4x+2=13

4x=11

x=

4

11

and(x+1)=(

4

11

+1)

=

4

15

Answer 2

Answer:

Step-by-step explanation: