Math Problem Statement
Q 42. Aman and Ravi appeared for a mathematics test. Aman scored 24 marks more than Ravi, and his marks were 60% of their combined total. How many marks did Aman score? 01) 48 02) 72 03) 54 04) 88
Solution
Let the marks scored by Ravi be .
According to the problem, Aman scored 24 marks more than Ravi, so Aman's marks would be .
The problem also states that Aman's marks are 60% of their combined total. The combined total of their marks is .
Now, we can set up the equation using the 60% condition:
Simplifying this equation:
So, Ravi scored 48 marks, and Aman's marks are:
Thus, Aman scored 72 marks. The correct answer is:
Would you like more details on any step, or do you have further questions? Here are some related questions:
- How would the equation change if Aman scored 30 marks more than Ravi?
- What if Aman's marks were 70% of their combined total?
- Can you solve a similar problem where Aman scored 20 marks more than Ravi?
- How does the solution change if Aman's marks were 50% of the total?
- What happens if Ravi scored 60 marks in the test instead?
Tip: When forming equations from word problems, translate the conditions step-by-step into mathematical expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentages
Linear Equations
Formulas
x + 24 = 0.60 * (2x + 24)
Solving linear equations
Theorems
None (basic algebraic manipulation)
Suitable Grade Level
Grades 6-8