berlinejacquet berlinejacquet
  • 23-01-2021
  • Mathematics
contestada

The sum of two odd consecutive integers is 88. Find the integers.

Respuesta :

arj1ta
arj1ta arj1ta
  • 23-01-2021

-- there is an equation to find this: (2n + 1) + (2n + 3) = (whatever number is given as their sum)

use the equation: 2n + 1 is an odd interger, 2n + 3 is the next odd integer.

(2n + 1) + (2n + 3) = 88

add like terms.

4n + 4 = 88

4n = 84

n = 21

now plugin.

2(21) + 1

42 + 1

= 43 (the first odd integer)

this means the second one would be 45.

answer: 43 and 45

add them to check:

43 + 45 = 88

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