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?

1st odd: 7459

2nd odd: 7461

Step-by-step 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 =

x = 7459

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

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.