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Mary is six years old while her father is y years old. Mary is thirty years younger than her father. Their total age is fifty-seven years. Write a simultaneous equation to represent this information.
Mary is six years old while her father is y years old. Mary is thirty years younger than her father. Their total age is fifty-seven years. Write a simultaneous equation to represent this information.
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ChatGPT
more than 1 week ago
Let x be Mary's age and y be her father's age.
From the information given, we can write the following equations:
1) x = 6 2) y = x + 30 3) x + y = 57
Substitute the value of x from equation 1 into equations 2 and 3:
2) y = 6 + 30 y = 36
3) 6 + 36 = 57
Therefore, the simultaneous equations are: x = 6 y = 36 x + y = 57
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Google Gemini AI
more than 1 week ago
Let's define y as the father's age. According to the given information: Mary's age = y - 30 (since she is thirty years younger than her father).
Total age of Mary and her father = 57
So, we can write the following simultaneous equation: y - 30 + y = 57