The sum of three times a number and 11 is 32. Find the number

Question

Accepted Answer

To solve the problem, we need to find the number that satisfies the condition given in the question: "The sum of three times a number and 11 is 32."

Let's denote the unknown number as $ x $.

According to the problem, the equation can be set up as follows:

$$ 3x + 11 = 32 $$

To find the value of $ x $, we need to solve this equation step by step:

1. Subtract 11 from both sides of the equation to isolate the term with $ x $:

$$ 3x + 11 - 11 = 32 - 11 $$

$$ 3x = 21 $$

2. Divide both sides by 3 to solve for $ x $:

$$ \frac{3x}{3} = \frac{21}{3} $$

$$ x = 7 $$

Thus, the number that satisfies the equation is 7. Therefore, Option 2 is the correct answer.

Now, let's explain why each of the other options is incorrect:

- **Option 1 (5):** If we substitute 5 into the equation, we get:

$$ 3(5) + 11 = 15 + 11 = 26 $$

This does not equal 32, so Option 1 is incorrect.

- **Option 3 (11):** If we substitute 11 into the equation, we get:

$$ 3(11) + 11 = 33 + 11 = 44 $$

This does not equal 32, so Option 3 is incorrect.

- **Option 4 (9):** If we substitute 9 into the equation, we get:

$$ 3(9) + 11 = 27 + 11 = 38 $$

This does not equal 32, so Option 4 is incorrect.

In conclusion, the only number that satisfies the condition given in the problem is 7, which corresponds to Option 2.