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In a match against Australia, New Zealand won the toss and chose to bat first. New Zealand scored ‘r’ runs in 24 overs and won the match by 16 runs. Australia played for 25 overs and the ratio of the run rate of New Zealand to that of Australia was 9 : 8. How many runs were scored by Australia?
  • a)
    200
  • b)
    150
  • c)
    180
  • d)
    250
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a match against Australia, New Zealand won the toss and chose to ba...
Runs scored by New Zealand in 24 overs = r
Runs scored by Australia in 25 overs = r – 16

r = 216
r – 16 = 200
Runs scored by Australia = 200
Hence, option A is correct.
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Community Answer
In a match against Australia, New Zealand won the toss and chose to ba...
Toss and Decision
New Zealand won the toss and chose to bat first against Australia.

Runs scored by New Zealand
New Zealand scored 'r' runs in 24 overs.

Match Result
New Zealand won the match by 16 runs.

Run Rate Ratio
The ratio of the run rate of New Zealand to that of Australia was 9 : 8.

Calculation
Let the run rate of New Zealand be 9x and the run rate of Australia be 8x.
Since New Zealand batted for 24 overs and Australia batted for 25 overs, the total runs scored by New Zealand can be calculated as 9x * 24 = 216x and the total runs scored by Australia can be calculated as 8x * 25 = 200x.

Calculating the Difference
Since New Zealand won the match by 16 runs, we can set up the equation 216x - 200x = 16.
Solving this equation, we get x = 4.

Calculating the Runs scored by Australia
Plugging the value of x back into the total runs scored by Australia, we get 200 * 4 = 800 runs.
Therefore, Australia scored 200 runs in the match.
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In a match against Australia, New Zealand won the toss and chose to bat first. New Zealand scored ‘r’ runs in 24 overs and won the match by 16 runs. Australia played for 25 overs and the ratio of the run rate of New Zealand to that of Australia was 9 : 8. How many runs were scored by Australia?a)200b)150c)180d)250Correct answer is option 'A'. Can you explain this answer?
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