Question

Find two consecutive odd numbers whose sum is 200.

Answer 1

Let the two consecutive odd numbers be x and x + 2

$\therefore$ Their sum = 200 {given}

x + (x + 2) = 200

x + x + 2 = 200

2x + 2 = 200

2x + 2 – 2 = 200 – 2 {$\because$ Subtracting 2 from both sides}

2x = 198

$\Rightarrow$ $x=\frac{198}{2}$

$\Rightarrow$ x = 99

Thus, x + 2 = 99 + 2 = 101

$\therefore$ The numbers will be 99 and 101.