Question

If 4 is added to a number and the sum is tripled, the result is 24 more than the number. Find the number.

Answer 1

If 4 is added to a number and the sum is tripled, the result is 24 more than the number. The number is 6.

Explanation:

We can start solving this by creating an expression that describes each part of this word problem. We will represent the "number" in this equation using x.

3(4+x)=24+x (Distribute the 3 among the parantheses)

12+3x=24+x (Subtract 12 on both sides to isolate the x)

3x=12+x (Subtract the x from the right side from 3x)

2x=12 (Divide to isolate x)

x=6

Answer 2

Hello!

Let's represent the number as "x".

According to the given information, if 4 is added to the number (x), the sum is tripled:

3 * (x + 4)

The result of this tripled sum is 24 more than the number (x):

3 * (x + 4) = x + 24

Now, we can solve for x:

3x + 12 = x + 24

Subtract x from both sides:

3x - x + 12 = 24

Simplify:

2x + 12 = 24

Now, subtract 12 from both sides:

2x + 12 - 12 = 24 - 12

Simplify:

2x = 12

Finally, divide both sides by 2 to isolate x:

x = 12 / 2

x = 6

So, the number is 6.

Hope this help you!

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