Tick (✓) the correct answer

Question:

Tick (✓) the correct answer:

Sum of three consecutive integers is 51. The middle one is

(a) 14

(b) 15

(c) 16

(d) 17

Solution:

(d) 17

Let the three consecutive integers be $x, x+1$ and $x+2$.

Equation $=x+x+1+x+2=51$

$\Rightarrow 3 x+3=51$

$\Rightarrow 3 x=51-3$

$\Rightarrow 3 x=48$

$\Rightarrow x=\frac{48}{3}=16$

Middle integer $=x+1=16+1=17$

 

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