Question

The code to unlock a safety deposit box is three consecutive odd integers whose sum is 75. Find the integers

Answer 1

Answer: The integers are 23, 25, and 27

Explanation:

Call the first integer n, and then the next two odd ones are n + 2 and n + 4.

Add them together to get 75:

n + n+ 2 + n + 4 = 75

which becomes 3n + 6 = 75

so 3n = 69, and n is therefore 23. n + 2 = 25, and n + 4 = 27.