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When thrice a number increased by 6, giv...

When thrice a number increased by 6, gives 66. Find the number.

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To solve the problem step by step, we will follow the instructions given in the question. ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find a number (let's call it \( x \)) such that when thrice this number is increased by 6, the result is 66. 2. **Set Up the Equation**: According to the problem, we can express this relationship with the equation: \[ 3x + 6 = 66 \] 3. **Isolate the Term with \( x \)**: To isolate \( 3x \), we need to subtract 6 from both sides of the equation: \[ 3x + 6 - 6 = 66 - 6 \] This simplifies to: \[ 3x = 60 \] 4. **Solve for \( x \)**: Now, we need to find \( x \) by dividing both sides of the equation by 3: \[ x = \frac{60}{3} \] This simplifies to: \[ x = 20 \] 5. **Conclusion**: The required number is \( 20 \). ### Final Answer: The required number is \( 20 \).
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