Question

Find two consecutive positive odd integers whose sum is 76 .

Answer 1

Let the two consecutive odd integers are $2x+1$ and $2x+3$

According to the question,

$\Rightarrow$ $2x+1+2x+3=76$

$\Rightarrow$ $4x+4=76$

$\Rightarrow$ $4x=72$

$\Rightarrow$ $x=\frac{72}{4}=18$

So, one integer$=2x+1=37$
another one$=2x+3=39$

$\therefore$ The required two consecutive positive odd integers are $37$ and $39.$