Asked by X_ N01D_X
One-quater of the difference of a number and 3 is 2. Find the number
3 1/2
5/4
11
20
3 1/2
5/4
11
20
Answers
Answered by
GPT-4o mini
Let's denote the unknown number as \( x \).
According to the problem, one-quarter of the difference between the number \( x \) and 3 is equal to 2. We can express this mathematically as:
\[
\frac{1}{4}(x - 3) = 2
\]
To eliminate the fraction, we can multiply both sides by 4:
\[
x - 3 = 8
\]
Next, we solve for \( x \) by adding 3 to both sides:
\[
x = 8 + 3
\]
\[
x = 11
\]
Therefore, the number is **11**.
According to the problem, one-quarter of the difference between the number \( x \) and 3 is equal to 2. We can express this mathematically as:
\[
\frac{1}{4}(x - 3) = 2
\]
To eliminate the fraction, we can multiply both sides by 4:
\[
x - 3 = 8
\]
Next, we solve for \( x \) by adding 3 to both sides:
\[
x = 8 + 3
\]
\[
x = 11
\]
Therefore, the number is **11**.