If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall

[BTGmoderatorDC]

If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9



OA B

Source: e-GMAT

[Jay@ManhattanReview]

If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9

OA B

Source: e-GMAT

Runs scored in n matches = 65n;
Runs scored in (n + 1) matches = 65n + 100;
Again, Runs scored in (n + 1) matches = 70(n + 1);

Thus, 65n + 100 = 70(n + 1)

n = 6

The correct answer: B

Hope this helps!

-Jay
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[swerve]

If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9



OA B

Source: e-GMAT

Here we have

Total Increase in score of \(n\) matches is \(5n\)
Total increase \(+\) new average \(=\) New score

\(5n + 70 = 100 \Longrightarrow n=6\)

So, B

[Scott@TargetTestPrep]

If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9



OA B

Source: e-GMAT

We can create the equation:

(65n + 100) / (n + 1) = 70

65n + 100 = 70n + 70

30 = 5n

6 = n

Answer: B