Question

If the sum of 1 more than double a number and five more than double a number is 74, what is the number? Show your work.

A. 32
B. 36
C. 38
D. 40

Answer 1

The student's algebraic equation 2x + 1 + 2x + 5 = 74 leads to the conclusion that x = 17. However, this solution does not match any of the provided answer choices.

Step-by-step explanation:

The student is asked to solve for a number based on the sum of two expressions. Let's define the unknown number as x. According to the problem, double the number plus one, added to double the number plus five, equals 74. We set up the equation as:

2x + 1 + 2x + 5 = 74

We can combine like terms to simplify:

4x + 6 = 74

To isolate x, we subtract 6 from both sides:

4x = 68

Finally, divide by 4 to solve for x:

x = 17

However, the number 17 does not match any of the offered answer choices.