Question

If the sum of two consecutive odd numbers is 2004, then the smaller of the two numbers could be

• A. 2001
• B. 1001
• C. 1003
• D. 1

Answer 1

The correct option is B 1001

Let the two consecutive odd numbers are x and x+2
$x+x+2=2004$
$x+x+2-2=2004-2$ (Subtract 2 from both the sides)
$2x=2002$
$\frac{2x}{2}=\frac{2002}{2}$ (Divide 2 from both the sides)
$x=1001$
Hence two numbers are 1001 and 1003