Question

Seven times a number is the same as 12 more than 3 times the number. Find the number.

Answer 1

Let the unknown number be represented by \( x \).

According to the problem, we have the equation:
\[
7x = 3x + 12
\]

To solve for \( x \), first, we can subtract \( 3x \) from both sides:
\[
7x - 3x = 12
\]

This simplifies to:
\[
4x = 12
\]

Next, we divide both sides by 4 to isolate \( x \):
\[
x = \frac{12}{4}
\]
\[
x = 3
\]

Thus, the number is \( \boxed{3} \).

To verify, we can substitute \( x \) back into the original condition:
- Calculating \( 7 \times 3 \):
\[
7 \times 3 = 21
\]
- Calculating \( 3 \times 3 + 12 \):
\[
3 \times 3 + 12 = 9 + 12 = 21
\]

Since both sides equal 21, our solution is confirmed. The number is indeed \( \boxed{3} \).