One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)

Responses

11
11

54
5 fourths

312
3 and 1 half

20

1 answer

The correct answer is 20.

Let's solve the problem step by step.

Let's assume the number is x.

The difference of the number and 3 is: x - 3.

One-quarter of the difference is: (x - 3)/4.

According to the problem, this is equal to 2.

Therefore, we have the equation: (x - 3)/4 = 2.

To solve for x, we can multiply both sides of the equation by 4 to eliminate the fraction:

(x - 3)/4 * 4 = 2 * 4.

This simplifies to: x - 3 = 8.

Now, we can add 3 to both sides of the equation to isolate x:

x - 3 + 3 = 8 + 3.

This simplifies to: x = 11.

So, the number is 11.
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