Question

The sum of three consecutive odd natural number is 87. The smallest of these number is

• A. 29
• B. 31
• C. 23
• D. 27

Hint:

Average of 3 numbers $= \frac{87}{3} = 29$ (middle number). Smallest $= 29 - 2 = 27$.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Consecutive odd integers differ by 2 from one term to the next.

Step 2: Key Formula or Approach:
Let the three consecutive odd natural numbers be $x, x+2, x+4$.
Their sum is given as 87:
\[x + (x + 2) + (x + 4) = 87\]

Step 3: Detailed Explanation:
Simplifying the algebraic linear equation:
\[3x + 6 = 87 \implies 3x = 81 \implies x = \frac{81}{3} = 27\] The three numbers are $27, 29, 31$.

Step 4: Final Answer:
Hence, the smallest of these numbers is 27.