Q32 How old am I if 500 reduced by 3 times my age is \( 206 ? \)
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To find your age, we can set up the equation from the given information: \( 500 - 3 \times \text{age} = 206 \). Now, let's solve it step-by-step: 1. Subtract 206 from both sides: \( 500 - 206 = 3 \times \text{age} \) \( 294 = 3 \times \text{age} \). 2. Divide both sides by 3: \( \text{age} = \frac{294}{3} \) \( \text{age} = 98 \). So, you are 98 years old! --- In ancient cultures, reaching the age of 98 was seen as a mark of wisdom and respect. For example, in Babylonia, the elderly were revered, and those who lived to such ages were often called upon to share their knowledge and life experiences. It's fascinating how age has been perceived differently across eras! In real-world situations, knowing how to set up and solve equations like the one above can be incredibly handy! Whether you're dissecting your monthly budget or strategizing a game plan for a school project, breaking down the problem into mathematical expressions is a skill that pays off. Just remember to carefully isolate your variables and double-check your arithmetic!