Solve.
When two is subtracted from one-fourth of a number the result is 2 . What is the original number?
10

Question

Solve. When two is subtracted from one-fourth of a number the result is 2 . What is the original number? 10

UpStudy AI · Accepted Answer

Let's solve the problem step by step.

**Problem Statement:**
When two is subtracted from one-fourth of a number, the result is 2. What is the original number?

**Let’s denote the original number as $$ x $$.**

**Set up the equation based on the problem statement:**
$$
\frac{1}{4}x - 2 = 2
$$

**Solve for $$ x $$:**

1. **Add 2 to both sides of the equation:**
$$
\frac{1}{4}x - 2 + 2 = 2 + 2
$$
$$
\frac{1}{4}x = 4
$$

2. **Multiply both sides by 4 to isolate $$ x $$:**
$$
4 \times \frac{1}{4}x = 4 \times 4
$$
$$
x = 16
$$

**Verification:**
Substitute $$ x = 16 $$ back into the original equation to ensure it's correct.
$$
\frac{1}{4} \times 16 - 2 = 4 - 2 = 2
$$
The equation holds true.

**Conclusion:**
The original number is **16**.
The original number is 16.

Solve.
When two is subtracted from one-fourth of a number the result is 2 . What is the original number?
10

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