SOLUTION: Find 3 consecutive integers such that the sum of the first and second is equal to three times the third integer.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find 3 consecutive integers such that the sum of the first and second is equal to three times the third integer.       Log On


   

Question 241291: Find 3 consecutive integers such that the sum of the first and second is equal to three times the third integer.
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Since we need to find three consecutive integers, let:
x = integer
x+1 = consecutive integer
x+2 = the next consecutive integer
.
The problem also tells us the sum of the first and second x + x+1
is equal to three times the third integer = 3(x+2)
.
The equation then becomes:
x%2B%28x%2B1%29=3%28x%2B2%29
2x%2B1=3x%2B6
Now solve for x to determine the first integer.
Add 1 to find its consecutive integer and increse it by 1 more to find the third one.
.
Plug in the x value in the original equation and solve to ensure the answers make sense.
.
Done!