1. Original Statement:
“Two times the sum of a number and five is 54.”
2. Identify the Unknown:
The unknown is the number we’re trying to find. Let’s call it x.
3. Translate “Sum of a Number and Five”:
The phrase “sum of a number and five” translates to “x + 5”.
4. Translate “Two Times”:
“Two times” means we multiply by 2. So, “two times the sum of a number and five” becomes “2(x + 5)”.
5. Translate “Is 54”:
“Is” in math usually means “equals,” so “is 54” translates to “= 54”.
6. Construct the Original Equation:
Putting it all together, we get “2(x + 5) = 54”.
7. Solve the Equation:
– First, distribute the 2 to both x and 5: “2x + 10 = 54”.
– Next, subtract 10 from both sides to isolate “2x”: “2x = 44”.
– Finally, divide both sides by 2 to solve for x: “x = 22”.
8. Final Result:
The number is 22.
So, the number you’re looking for is 22.