Question
If x runs are second by Rohit, y runs by Shreyas and z
runs by Virat, then x : y = y : z = 5:3. If total number of runs scored by Rohit, Shreyas and Virat is 637, the find the number of runs scored by Shreyas?Solution
⇒ x : y = 5:3 = 25 : 15 ⇒ y : z = 5:3 = 15 : 9 ⇒ x : y : z = 25 : 15 : 9 Since total runs scored by Rohit, Shreyas and Virat = 637 ⇒ 25a + 15a + 9a = 637 ⇒ 49a = 637 ⇒ a = 637/49 = 13 Hence, Runs scored by Shreyas = 15 × 13 = 195
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