Answer
Andre is 13 years old, his brother is 16 years old, his sister is 11 years old, and his mother is 47 years old. Let w denote Andre’s age, x denote his brother’s age, y denote his sister’s age, and z represent his mother’s age. Since he is three years younger than his brother, we have: w = x – 3. He is also 2 years older than his sister: w = y + 2. Additionally, his mother’s age is one less than three times his brother’s age: z = 3x – 1. Finally, the total of their ages equals 87: w + x + y + z = 87. By solving these four equations together, we find that w = 13, x = 16, y = 11, and z = 47. Therefore, Andre is 13, his brother is 16, his sister is 11, and their mother is 47.
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