Final answer:
To find two consecutive odd integers that satisfy a given equation, we can use algebraic expressions. In this case, we represent the integers as x and x + 2 and form an equation using the given information. Solving the equation will give us the final values.
Step-by-step explanation:
To find two consecutive odd integers, we can represent the smaller integer as x and the larger integer as x + 2. According to the given information, twice the larger integer, increased by the smaller integer, equals 85. So, we can write the equation as 2(x+2) + x = 85. Solving this equation will give us the values of the consecutive odd integers.
Expanding the equation, we get 2x + 4 + x = 85. Combining like terms, we have 3x + 4 = 85. Subtracting 4 from both sides gives us 3x = 81. Dividing both sides by 3, we find x = 27.
Therefore, the consecutive odd integers are 27 and 29.