Question

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Ramesh scored a certain average runs for 9 one day matches. When he scored 64 runs in 10th match, his average score increased by 2. How many total runs did he score in 10 matches?
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Answer 1

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=9x+100/10 =x+8

=⇒9x+100=10x+80

=x=20

New average, =xˉ=20+8=28

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Answer 2

FORMULA USED

• Average Run = Total Run/ No. of Days

SOLUTION

• Let the avg. after 9 innings be x.
• x = Runs scored in 9 innings / 9
• Runs scored in 9 innings = 9x

NOW Given that,

• When he scored 64 runs in 10th match, his average score increased by 2.

x + 2 = (9x+64)/10

Therefore

• (9x + 64)/10 = x + 2
• 9x + 64 = 10x + 20
• x = 44

Total runs he score in 10 matches

• 9x + 64
• 9*44 + 64
• 460 runs

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