SOLUTION: my teacher wants me to write and algebraic equation for this question; find two consectutive integers whose sum is 75. she told me the equation is x+x+1 and the answer is 37, 38 b

Question 364141: my teacher wants me to write and algebraic equation for this question; find two consectutive integers whose sum is 75. she told me the equation is x+x+1 and the answer is 37, 38 but i dont know how you would get that equation.. she never explained it....
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
my teacher wants me to write and algebraic equation for this question; find two consectutive integers whose sum is 75. she told me the equation is x+x+1 and the answer is 37, 38 but i dont know how you would get that equation.. she never explained it....
Hi
x represents the 1st integer
(x+1) represents the 2nd integer. for consecutive integers the 2nd number is
1 more than the 1st integer (example: if 1st integer is 5, the 2nd
consecutive integer is (5+1) which is 6)
So getting the sum of the 2 consecutive integers is:
x [1st integer] + (x+1)[2nd integer]
x + (x+1)
So the equation is
x+x+1 = 75
2x = 75-1
2x = 74
x = 37
x+1 = 37 +1 = 38
The 2 consecutive integers whose sum is 75 is 37 & 38 (37 + 38 = 75)
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