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24 Sep 2025, 22:23
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Difficulty:
65%
(hard)
Question Stats:
70% (02:47) correct
30%
(03:10)
wrong
based on 165
sessions
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Date
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The ratio of runs scored by Dhoni and Virat in the first match is 9:7, and in the next match is 11:8. If the total runs scored by Virat in these two matches is 190, which is 65 less than the runs scored by Dhoni, how many runs did Virat score in the first match?
A. 56
B. 90
C. 70
D. 84
E. 105
Screenshot 2025-09-25 10.50.24 AM.png [ 50.85 KiB | Viewed 1159 times ]
A. 56
B. 90
C. 70
D. 84
E. 105
Attachment:
Screenshot 2025-09-25 10.50.24 AM.png [ 50.85 KiB | Viewed 1159 times ]
25 Sep 2025, 10:14
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Hi!
It takes me a lot of time to do it, do you have a faster way please?
Mine:
9v1/7+ 11V2/8=255
9v1/7+11v2/8-v1-v2=65
72v1+77v2-56v1-56v2=3640
16v1-21v2=3640
16v1+21v2-21v1-21v2=3460-3990
5v1=350
v1=70
fiouu
It takes me a lot of time to do it, do you have a faster way please?
Mine:
9v1/7+ 11V2/8=255
9v1/7+11v2/8-v1-v2=65
72v1+77v2-56v1-56v2=3640
16v1-21v2=3640
16v1+21v2-21v1-21v2=3460-3990
5v1=350
v1=70
fiouu
25 Sep 2025, 10:37
Kudos
Bookmarks
@Naseeb007
The ratio of runs scored by Dhoni and Virat in the first match is 9:7, and in the next match is 11:8.
If the total runs scored by Virat in these two matches is 190, which is 65 less than the runs scored by Dhoni, how many runs did Virat score in the first match?
First match: -
Runs scored by Dhoni = 9x
Runs scored by Virat = 7x
Second match: -
Runs scored by Dhoni = 11y
Runs scored by Virat = 8y
7x + 8y = 190 = (9x + 11y) - 65
2x + 3y = 65
Solving we get
21x + 24y = 570
16x + 24y = 520
5x = 50
x = 10
Runs scored by Virat in the first match = 7x = 70
IMO C
The ratio of runs scored by Dhoni and Virat in the first match is 9:7, and in the next match is 11:8.
If the total runs scored by Virat in these two matches is 190, which is 65 less than the runs scored by Dhoni, how many runs did Virat score in the first match?
First match: -
Runs scored by Dhoni = 9x
Runs scored by Virat = 7x
Second match: -
Runs scored by Dhoni = 11y
Runs scored by Virat = 8y
7x + 8y = 190 = (9x + 11y) - 65
2x + 3y = 65
Solving we get
21x + 24y = 570
16x + 24y = 520
5x = 50
x = 10
Runs scored by Virat in the first match = 7x = 70
IMO C
