Question

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

Answer 1

The correct number that satisfies the condition 'four less than a number tripled is the same as the number increased by ten' is 7. This is determined by setting up an algebraic equation 3x - 4 = x + 10 and solving for x.

Step-by-step explanation:

The problem statement given indicates an algebraic equation where we must find the unknown number that satisfies the condition: four less than the number tripled is the same as the number increased by ten. To represent this algebraically, let's use the variable x to denote the unknown number.

The phrase 'four less than a number tripled' can be translated to 3x - 4, and the phrase 'the same number increased by ten' is represented by x + 10.

Now, we can set up the equation where these two expressions are equal, which gives us:

3x - 4 = x + 10

To solve for x, we can rearrange the equation by adding 4 to both sides and then subtracting x from both sides:

3x = x + 14
x = 7

Hence, the number we are looking for is 7.

Answer 2

7

Step-by-step explanation:

first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".

set 3x-4 and x+10 equal to each other:

3x-4=x+10

next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:

2x-4=10

then, we would get the 2x by itself. we would do this by adding 4 to both sides:

2x=14

finally, we would divide each side of the equation by 2 to find x:

x=7.

The number is 7.