Question

Score of team A in an inning of a cricket test match was 7/16 of the total score and the highest score of team B was 7/24 of the remaining score. Difference between the score was 70. What was the total score?

Answer 1

Let the total score of the team be x.

∴ Score of the Team A = 7/16 of x.
= 7x/16

Remaining Score = x - 7x/16
= (16x - 7x)/16
= 9x/16

∴ Score of the team B = 7/24 of the 9x/16
= 7/24 × 9x/16
= 21x/128

Now,
Score of the Team A - Score of the Team B = 70
⇒ 7x/16 - 21x/128 = 70
⇒ 56x - 21x = 70 × 128
⇒ 35x = 70 × 128
⇒ x = 2 × 128
⇒ x = 256


∴ Total Score of the Team is 256.