In a game, A’s score was 2/7th of the total and B’s was 2/7th of the remainder. If A scored 32 runs more than B, what was the total score?
The Usual Method
Let the total score = x
Hence, A’s score =
B’s score =
Also, since A scored 32 runs more than B,
Estimated Time to arrive at the answer = 60 seconds.
If x is the total score, than A’s score = and B’s score = . Since B’s score is a fractional multiple of x, with denominator = 49, the value of x, should be a multiple of 49 as B’s score has to be an integer. The only option that is a multiple of 49 from the options is option ‘4’.
Estimated Time to arrive at the answer =15 seconds.