Question

Four less than a number tripled is the same number increased by ten. What is the number?

a. 2.6

b. 4.6

c. 7

d. 17

Answer 1

The number that, when tripled and reduced by four equals the number increased by ten, is 7. This is found by solving the equation 3x - 4 = x + 10, which simplifies to x = 7.

Step-by-step explanation:

The student's question is asking to find a number that, when tripled and reduced by four, equals the same number increased by ten. To solve this, we can set up an equation where x represents the unknown number. The equation based on the given statement would be:

3x - 4 = x + 10

Now, let's solve the equation step-by-step:

1. First, add 4 to both sides of the equation to isolate terms with x on one side:
2. 3
3. x
4. =
5. x
6. + 14
7. Next, subtract x from both sides to get all the x terms on one side:
8. 2
9. x
10. = 14
11. Finally, we divide both sides by 2 to solve for x:
12. x
13. = 7

Therefore, the number we are looking for is 7, which corresponds to option c.