Toby multiplies his age by 7.

Question

He then adds 4 to get 74. How old is Toby?

Answer 1

Let's define Toby's age as \( x \).

First, Toby multiplies his age by 7:
\[ 7x \]

Next, he adds 4:
\[ 7x + 4 \]

He states that this equals 74:
\[ 7x + 4 = 74 \]

To find Toby's age, \( x \), we'll solve this equation step-by-step.

1. Subtract 4 from both sides of the equation:
\[ 7x + 4 - 4 = 74 - 4 \]
\[ 7x = 70 \]

2. Now, divide both sides by 7:
\[ \frac{7x}{7} = \frac{70}{7} \]
\[ x = 10 \]

So, Toby is \( 10 \) years old.

To verify, we can check our solution:
- Multiply Toby's age by 7: \( 10 \times 7 = 70 \)
- Add 4: \( 70 + 4 = 74 \)

The calculations confirm that Toby is indeed \( 10 \) years old.