SOLUTION: the sum of three consecutive integers is 90 a. find the three numbers by letting x represent the first integer b. find the three numbers by letting x represent the second integer

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the sum of three consecutive integers is 90 a. find the three numbers by letting x represent the first integer b. find the three numbers by letting x represent the second integer      Log On


   



Question 326369: the sum of three consecutive integers is 90
a. find the three numbers by letting x represent the first integer
b. find the three numbers by letting x represent the second integer.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
first number =x
next number x+1
third number x+2
..
x+x+1+x+2=90
3x+3=90
add -3
3x+3-3=90-3
3x=87
divide by 3
3x/3 = 87/3
x=29
the numbers are 29,30,31
..
let the second number be x
the first number = x-1
third number = x+1
..
x+x+1+x-1=90
3x=90
x=30
second number is 30
first & third are 29 & 31