The average marks scored by Amit, Bimal and Candy in an examination is 84. If marks of Dorothy are
now added, the average marks of the 4 students becomes 80. Ellora's score is 3 more than Dorothy. If
Ellora's marks replace Amit's marks, than the average marks scored by Bimal, Candy, Dorothy and Ellora
is 79. What is the score of Amit?
Answers
Answer:
Score of Amit = 75
Step-by-step explanation:
Let marks of Amit be A, Bimal be B, Candy be C, Dorothy be D and Ellora be E
According to first condition,
The average marks scored by Amit, Bimal and Candy in an examination is 84
That is,
= 84
A + B + C = 84 * 3
A + B + C = 252
Now,
According to the second condition,
If marks of Dorothy are added, the average marks of the 4 students becomes 80, that is,
= 80
A + B + C + D = 80 * 4
A + B + C + D = 320
Now substituting value of A + B + C from above
252 + D = 320
D = 320 - 252
D = 68
So,
Marks of Dorothy = 68
Next in the question , it is given as ,
Ellora's score is 3 more than Dorothy, that is,
Marks of Ellora = Marks of Dorothy + 3
Marks of Ellora = 68 + 3
Marks of Ellora = 71
Finally, it is given
Ellora's marks replace Amit's marks, then the average marks scored by Bimal, Candy, Dorothy and Ellora is 79, that is
= 79
Substituting value of D = 68 and E = 71
= 79
B + C + 139 = 79 * 4
B + C + 139 = 316
B + C = 316 - 139
B + C = 177
Now, According to first condition we know,
A + B + C = 252
So, substituting value of B + C = 177 in this equation,
A + 177 = 252
A = 252 - 177
A = 75
Hence,
Score of Amit = 75