Question

Translate following words into an equation and then solve the equation "twice a number plus 7, is 23"
A) The number is 21
B) The number is 8
C) The number is 3
D) The number is 16

Answer 1

Let's translate the words into an equation step by step:

1. "a number": Let’s represent the unknown number as \( x \).
2. "twice a number": This means \( 2x \).
3. "plus 7": So, we have \( 2x + 7 \).
4. "is 23": This translates to an equation as \( 2x + 7 = 23 \).

Now we can solve the equation:

\[
2x + 7 = 23
\]

Subtract 7 from both sides:

\[
2x = 23 - 7
\]
\[
2x = 16
\]

Next, divide both sides by 2:

\[
x = \frac{16}{2}
\]
\[
x = 8
\]

So the solution is \( x = 8 \). Therefore, the correct answer is:

B) The number is 8.