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The sum of three consecutive odd numbers is 81. What is the largest of the three?

Class 7Simple EquationsSimple Equations
  • A29
  • B25
  • C27
  • D28

Step-by-Step Solution

Consecutive odd numbers rise in steps of 2, so let them be and . Then → → , giving 25, 27 and 29 (sum 81 ✓). The question asks for the LARGEST, so 29 — picking 25 answers with the smallest and 27 with the middle one. Answer 28 comes from spacing the numbers by 1 instead of 2, which would make them even as well as odd.
Answer: A) 29

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let = the number. Equation: . Solve: .
Answer: the number is 5.

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