Question

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105. Write an inequality to find the the three numbers. Let n represents the smallest even number. Solve the inequality

Answer 1

90 < [( n + n + 2 + n + 4) / 2] < 105

90 < (3n + 6) / 2 < 105

3n + 6 > 180 and 3n + 6 < 210

n > 58 , n < 68

58 < n < 68 answer