Question
Jason is thinking of a number, which if you multiply it by 12 and add 21 , ends with a result of 165 . A. 108 B. 2,001 C. 2,232 D. 12
Ask by Cole Bowen. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 12.
Solution
We are given the equation:
\[
12x + 21 = 165
\]
**Step 1.** Subtract 21 from both sides:
\[
12x = 165 - 21 = 144
\]
**Step 2.** Divide both sides by 12:
\[
x = \frac{144}{12} = 12
\]
The number is \(12\).
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Simplify this solution Extra Insights
To solve Jason's riddle, start by setting up the equation based on the clue: \(12x + 21 = 165\). Subtracting 21 from both sides gives \(12x = 144\). Then, divide by 12 to find \(x\), resulting in \(x = 12\). So, the correct answer is D. In math puzzles like this, it's all about breaking the problem down step by step. Always remember to isolate the variable you're working with—this simple technique could save you a lot of time and effort in similar challenges!
