Question

Find three consecutive even numbers whose sum is 252.​

Answer 1

Answer:

Let the smallest of three consecutive number be X , therefore other two consecutive numbers will be X+1 and X+2

As per the statement, the sum of these consecutive numbers is 252, means

X + (X+1) + (X+2) = 252

X+X+1+X+2=252

3X + 3 = 252

3X = 252–3

3X=249

X=249/3

X = 83

Thus the smallest consecutive number is 83

Therefore other two consecutive numbers are

X+1

83+1=84 and

X+2

83+2=85

Thus the three consecutive numbers are 83, 84 and 85

Answer 2

Answer:

The 3 numbers are 82, 84 and 86

Step-by-step explanation:

Let the smallest number of those consecutive numbers be x.

So, the numbers are x, (x + 2), (x + 4)

According to the question, the equation will be formed like this:

x + x + 2 + x + 4 = 252

3x + 6 = 252

3x = 246

x = 82

Thus, x = 82, x + 2 = 84, x + 6 = 86

Hence those 3 numbers are 82, 84 and 86.

Hence solved.