Question

Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 14,920. What are the office numbers of these two professors?

Answer 1

1st odd: 7459

2nd odd: 7461

Explanation:

Let two consecutive odd numbers are x and y

First odd number: x

First second odd numver: y = x + 2------eq(1)

x + y = 14920

x + x + 2 = 14920------From eq(1)

2x = 14920 - 2

2x = 14918

x =
`(14918)/(2)`

x = 7459

y = 7459 + 2 = 7461----- put x in eq(1)