If the sum of three consecutive odd numbers is 51, find the largest.

**The reasoning** Let's call the three consecutive odd numbers: **x**, **x + 2**, and **x + 4** (odd numbers jump by 2 each time, like 11, 13, 15). Their sum equals 51: x + (x + 2) + (x + 4) = 51 Simplify: 3x + 6 = 51 3x = 45 x = 15 So the three numbers are **15, 17, and 19**. The largest is **19**. **Why the wrong options tempt you** - **A (15)** — This is the *first* number, not the largest. The question asks for the biggest, so don't stop at what you found first! - **B (17)** — The middle number. Easy to pick if you're rushing. - **D (21)** — This would be correct if the numbers were 17, 19, 21... but check: 17 + 19 + 21 = 57, not 51. You might pick this by adding 2 to 19 without verifying. **Quick takeaway** When finding consecutive odd (or even) numbers, set them as x, x+2, x+4, solve for x, then **always identify which position the question asks for** — first, middle, or largest.