three friends are in the same algebra class. Their scores on a recent test are three consecutive odd intergers whose sum is 279.

Question

Vika [28.1K]

2 years ago

10

three friends are in the same algebra class. Their scores on a recent test are three consecutive odd intergers whose sum is 279.

find each score

Mathematics

1 answer:

jasenka [17] · Answer 1 · 2022-07-21T17:09:57+03:00

X= 1st integer
x+2= 2nd integer
x+4= 3rd integer

Add the integers together

x + (x + 2) + (x + 4)= 279
combine like terms
3x + 6= 279
subtract 6 from both sides
3x= 273
divide both sides by 3
x= 91 first integer

Substitute x=91 to find 2nd & 3rd integers

2nd Integer
=x+2
=91+2
=93

3rd Integer
=x+4
=91+4
=95

ANSWER: The three test scores are 91, 93 and 95.

Hope this helps! :)