1. A batsman played three matches in a tournament. The respective ratio between the scores of 1st and 2nd match was 8 : 9 and that between the scores of 2nd and 3rd match was 3 : 2. The difference between the 1st and 3rd match was 16 runs. What was the batsman’s average score in all the three matches ?
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- By: anil on 05 May 2019 01.40 amRatio between the scores of 1st and 2nd match was 8 : 9 Let score in 1st match = $$8x$$ => Score in 2nd match = $$9x$$ Also, ratio between the scores of 2nd and 3rd match was 3 : 2 => Score in 3rd match = $$6x$$ Acc. to ques, => $$8x - 6x = 16$$ => $$x = frac{16}{2} = 8$$ Total runs in the three matches = $$8x + 9x + 6x = 23x$$ = $$23 imes 8 = 184$$ $$ herefore$$ Required average = $$frac{184}{3} = 61 frac{1}{3}$$
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