Twice a number increased by 74 is 10 less than three times the number what’s the number

Question

Twice a number increased by 74 is 10 less than three times the number what’s the number

Answer 1

To set this up as a problem, we start with the critical information. We are given two sides of an equation, and must solve for one variable. If we call Number the variable N, we can set up our problem:

1. "Twice N" is the same as 2 x N, or 2N
2. "Increase" tells us it's addition, + 74
3. "Is" tells us where we can place our Equals sign
4. "Three times N" is 3N
5. "Less than" tells us there is subtraction, - 10

So this is what our problem should look like:

2N + 74 = 3N - 10

The last thing you need to do is solve for N, so we need to get N by itself. We need both N's on one side together, and the whole numbers together on the other side.

74 + 10 = 3N - 2N

I'll let you do the final work to determine the solution. Best wishes!