SOLUTION: If three times the smaller of two consecutive integers is added to four times the larger, the result is 74. Find the smaller integer.

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Question 75048: If three times the smaller of two consecutive integers is added to four times the larger, the result is 74. Find the smaller integer.
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
If x = the smaller of the two consecutive integers, the next consecutive integer would be (x+1)
From the problem description, you can write:
3x+4(x+1) = 74 Simplify and solve for x.
3x+4x+4 = 74 Combine like-terms (the x's) and subtract 4 from both sides.
7x = 70 Divide both sides by 7.
x = 10 This is the smaller integer.