Problem

Solve each word problem algebraically. 13. The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers. \[ \begin{array}{c} (x+y)=(3 x)-1 \\ 2 x=3 x-1 \\ 3 x-3 x \\ -x=-1 \end{array} \] 14. The len more t dimensi inches.

Solution

Step 1 :Let the two consecutive integers be x and x + 1.

Step 2 :Write the equation: x + (x + 1) = 3x - 1.

Step 3 :Simplify the equation: 2x + 1 = 3x - 1.

Step 4 :Subtract 2x from both sides: 1 = x - 1.

Step 5 :Add 1 to both sides: x = 2.

Step 6 :Find the next consecutive integer: x + 1 = 2 + 1 = 3.

Step 7 :Final Answer: The two consecutive integers are \(\boxed{2}\) and \(\boxed{3}\).

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Source: https://solvelyapp.com/problems/31155/

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