MCQ
Tick $(\checkmark)$ the correct answer: Sum of three consecutive integers is $51$. The middle one is:
- A$14$
- B$15$
- C$16$
- ✓$17$
✓
Answer
Correct option: D.
$17$
Let the three consecutive integers be $x, x + 1$ and $x + 2.$
Equation $= \text{x} + \text{x} + 1 + \text{x} + 2 = 51$
$\Rightarrow3\text{x} + 3 = 51$
$\Rightarrow3\text{x} = 51 - 3$
$\Rightarrow3\text{x} = 48$
$\Rightarrow\text{x} = \frac{48}{3}= 16$
Middle integer $= \text{x}+1 = 16 + 1 = 17$
Equation $= \text{x} + \text{x} + 1 + \text{x} + 2 = 51$
$\Rightarrow3\text{x} + 3 = 51$
$\Rightarrow3\text{x} = 51 - 3$
$\Rightarrow3\text{x} = 48$
$\Rightarrow\text{x} = \frac{48}{3}= 16$
Middle integer $= \text{x}+1 = 16 + 1 = 17$
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