Question

The sum of three consecutive even integers is 288. find the three integers.

Answer 1

94, 96, 98

Explanation:

Let the smallest integer is x,

So, second larger integer = x + 2 (Because integer are even and consecutive),

And, largest integer = x + 2 + 2 = x + 4,

So, the sum of these integers = x + x + 2 + x + 4 = 3x + 6

According to the question,

3x + 6 = 288

3x = 282

⇒ x = 94

Hence, the integers are,

94, 94+2, 94+4

= 94, 96, 98

Answer 2

288/3 =96

96-2 = 94

96+2 = 98

94 +96 +98 = 288