1.

A batsman’s average increases by 3 on scoring 87 runs in his 17th innings. His new average is1). 362). 373). 384). 39

Answer»

Average for a batsman $(= \FRAC{{Total\;runs}}{{number\;of\;innings}})$

Let his NEW average be x.

Given, a batsman’s average INCREASES by 3 on scoring 87 runs in his 17th innings.

∴ x – 3 = (Total runs – 87)/16

⇒ Total runs = 16x + 39 ----- eq1

and x = Total runs/17

⇒ Total runs = 17x -------eq2

Solving eq1 and eq2 we get,

17x = 16x + 39

⇒ x = 39



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