A batsman had a certain average of runs for 16 innings. In the 17th innings, he made a score of 87 runs thereby increasing his average by 3. What is his average after 17 innings?

• Let the average of runs in 16 innings be 'x'
  Then total runs in 16 innings = 16x
  In the 17th innings, he scored 87 runs
  so his total score = 16x+87
  then his average = 16x+87/17
  given: his new average is 3 more than the earlier one
  we have considered his average in 16 innings to be 'x'
  then, his new average = x+3
  
  now, we have:
  16x+87/17=x+3
  solving this equation, we get 'x'=36
  now his new average = x+3
  =36+3
  =39
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