Tick ( ) the correct answer: Sum of three consecutive integers is… - Vidyadip

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 $= \text{x}+1 = 16 + 1 = 17$

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