SOLUTION: When the smaller of two consecutive integers is added to three times the larger, the result is 51. What are the integers? Let x = smaller integer. What are the two consecu

Algebra ->  Equations -> SOLUTION: When the smaller of two consecutive integers is added to three times the larger, the result is 51. What are the integers? Let x = smaller integer. What are the two consecu      Log On


   



Question 1094282: When the smaller of two consecutive integers is added to three times the larger, the result is 51. What are the integers?
Let x = smaller integer.
What are the two consecutive integers? State the integers in numerical order.

Found 2 solutions by rothauserc, josgarithmetic:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we have x, x+1 with x being the smaller of the two integers
:
x + 3(x+1) = 51
:
x + 3x + 3 = 51
:
4x = 48
:
x = 12
:
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the integers are 12 and 13
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:

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two consecutive integers are x and x+1.

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x+3(x+1)=51
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x%2B3x%2B3=51
4x=51-3
4x=48
highlight_green%28x=12%29the smallerinteger
-
larger_integer=highlight_green%2813%29