15. Lee wrote a 2-digit number. She divided it by 9 , added 24 , and double the result. Her final answer was 64 . What number did Lee write?

Let's denote the 2-digit number that Lee wrote as \( x \). According to the given information: 1. Lee divided the number by 9: \( \frac{x}{9} \) 2. Added 24: \( \frac{x}{9} + 24 \) 3. Doubled the result: \( 2 \times (\frac{x}{9} + 24) \) 4. The final answer was 64: \( 2 \times (\frac{x}{9} + 24) = 64 \) Now, we can solve the equation to find the value of \( x \). Solve the equation by following steps: - step0: Solve for \(x\): \(2\left(\frac{x}{9}+24\right)=64\) - step1: Multiply the terms: \(\frac{2x}{9}+48=64\) - step2: Move the constant to the right side: \(\frac{2x}{9}=64-48\) - step3: Subtract the numbers: \(\frac{2x}{9}=16\) - step4: Cross multiply: \(2x=9\times 16\) - step5: Simplify the equation: \(2x=144\) - step6: Divide both sides: \(\frac{2x}{2}=\frac{144}{2}\) - step7: Divide the numbers: \(x=72\) The solution to the equation is \( x = 72 \). Therefore, Lee wrote the number 72.