The sum of three consecutive integers is 180. Find these integers… - Vidyadip

MCQ

The sum of three consecutive integers is $180.$ Find these integers.

A
$58, 59, 60$
B
$60, 61, 62$
✓
$59, 60, 61$
D
$60, 60, 60$

✓

Answer

Correct option: C.

$59, 60, 61$

Let $'a' a + 1,$ and $a + 2$ are the three consecutive integers.
According to the question,
$a + a + 1 + a + 2 = 180$
$\Rightarrow 3a + 3 = 180$
$\Rightarrow a + 1 = 160$
$\Rightarrow a = 60 - 1$
$\Rightarrow a = 59$
Therefore, the required integers are $59, 60$ and $61.$

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