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Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?"

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Answer:

My age is 13

My brother's age is x+3= 13+3 = 16

My sister's age is x-2=13-2=11

My mother's age is 3(x+3)-1=3(13+3)-1=47

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