Find two consecutive integers such that the sum of three times the first and twice the second is 27

For this case we have to:

Integer 1: Represented with the variable

Integer 2: It is consecutive, then it is represented with

We propose the equation:

We apply distributive property to the terms within parentheses:

We add similar terms:

We subtract 2 from both sides:

We divide between 5 on both sides:

Finally we have to:

Consecutive integers are 5 and 6

2x^2+5x+17

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about 168 miles

step-by-step explanation: