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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?

Respuesta :

Answer:

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 = [tex]\frac{14918}{2}[/tex]

x = 7459


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