Question

Find three consecutive odd integers such that the sum of the first and the third is 70. Find the integers.

Answer 1

33, 35, 37

Explanation:

Let the tree consecutive odd integers be x, x +2 and x + 4

According to the given information:

Sum of the first and the third is 70

`\therefore x + x + 4 = 70\\\\</p><p>\therefore 2x = 70 - 4\\\\</p><p>\therefore 2x = 66\\\\</p><p>\therefore x = (66)/(2)\\\\</p><p>\therefore x = 33\\\\</p><p>\implies x + 2 = 33 + 2 = 35\\\\</p><p>\& \hspace{25 pt}x + 4 = 33 + 4 = 37\\\\`

Thus, the three consecutive odd integers are 33, 35 and 37.

Verification: 33 + 37 = 70