Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jirn? 15 years old 10 years old 30 years old
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The Deep Dive
Let's break this down! If Dad is currently 4 times as old as Jim, we can say if Jim is X years old, then Dad is 4X years old. In 10 years, Jim will be X + 10 years, and Dad will be 4X + 10 years. According to the problem, in 10 years, Dad's age should be equal to 20 years more than double Jim’s age, which gives us the equation: 4X + 10 = 2(X + 10) + 20. When we solve that, we find Jim is 10 years old! Finding the solution to age-related problems often involves setting up equations based on the relationships given in the problem. A common mistake is forgetting to properly balance the equation or misinterpreting the relationships. Always double-check your work by substituting back into the original relationships to ensure accuracy!
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