Question

$2n$ is an even number. What are the odd numbers on each side of it? The sum of two consecutive odd numbers is $96$. What are they?

• A. $41,43$
• B. $57,59$
• C. $47,49$
• D. $31,33$

Answer 1

Answer: (C)

$47,49$

Given: Even number $=2n$

The odd number preceding $2n=2n-1$

The odd number succeeding $2n=2n+1$

A.T.Q,

$2n-1+2n+1=96$

$⟹4n=96$

$⟹n=\frac{96}{4}=24$

$\therefore$ the consecutive odd numbers are $2\times 24-1=47$ and $2\times 47+1=49$

They are $47,49$