SOLUTION: the sum of 3 consecutive odd integers is 85 less than 4 times the first. what is the first integer? Totally struggling thanks

Question 405272: the sum of 3 consecutive odd integers is 85 less than 4 times the first. what is the first integer? Totally struggling thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the sum of 3 consecutive odd integers is 85 less than 4 times the first.
what is the first integer?
:
Let the three consecutive integers be: x, (x+2), (x+4)
:
Write an equation for exactly what it says,
:
x + (x+2) + x+4) = 4x - 85
3x + 6 = 4x - 85
6 + 85 = 4x - 3x
91 = x
:
91 is the 1st integer
:
:
Check this
91 + 93 + 95 = 4(91) - 85
279 = 364 - 85
279 = 279; confirms our solution of x = 91
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