The total marks obtained in mathematics and science by aniket are more than 100 marks in english. how many marks have they received in english? average marks in three subjects are 60.
Answers
M+E+S= 3×60=180....(1)
Now
M+S= 100+E ....(2)
Put in equation (1) , the value of M+S
100+E + E = 180
2E = 80
E = 40 marks
Answer: Aniket scored less than 80/3 marks in English
Step-by-step explanation:
Let's assume that Aniket scored x marks in English. According to the problem statement, his total marks in Mathematics and Science are more than 100 marks in English. Let's call the sum of his marks in Mathematics and Science as y. Then we can write the following inequality:
y > 100 + x
We also know that Aniket's average marks in the three subjects are 60. This means that the sum of his marks in the three subjects is:
x + y = 3 * 60 = 180
Now we can use the above two equations to solve for x:
y > 100 + x
x + y = 180
Substituting the second equation into the first equation, we get:
y > 100 + x
y > 180 - y
Adding these two inequalities, we get:
2y > 280 + x
Substituting y = 180 - x (from the second equation), we get:
2(180 - x) > 280 + x
Simplifying this inequality, we get:
360 - 2x > 280 + x
3x < 80
x < 80/3
Therefore, Aniket scored less than 80/3 marks in English. Since marks cannot be fractional, we can conclude that Aniket scored at most 26 marks in English.
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