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A student got 42% marks and has secured 12 marks more than the minimum passing marks. Another student got 45% has obtained 30 marks more than the minimum passing marks. The maximum marks are

Question

A student got 42% marks and has secured 12 marks more than the minimum passing marks. Another student got 45% has obtained 30 marks more than the minimum passing marks. The maximum marks are

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Solution

To find the maximum marks, we need to determine the minimum passing marks first.

Let's assume the minimum passing marks as "x".

According to the given information, the first student secured 12 marks more than the minimum passing marks. So, the marks obtained by the first student can be expressed as "x + 12".

Similarly, the second student obtained 30 marks more than the minimum passing marks. So, the marks obtained by the second student can be expressed as "x + 30".

Now, we know that the first student got 42% marks, which means the marks obtained by the first student is 42% of the maximum marks. Mathematically, we can write it as:

(x + 12) = 0.42 * Maximum Marks

Similarly, the second student got 45% marks, which means the marks obtained by the second student is 45% of the maximum marks. Mathematically, we can write it as:

(x + 30) = 0.45 * Maximum Marks

Now, we have two equations with two variables (x and Maximum Marks). We can solve these equations to find the value of Maximum Marks.

By solving these equations, we can find the value of x and Maximum Marks.

This problem has been solved

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