Bama and Jaya each took four 100-point tests. Bama got an average of 78 on the four tests. Jaya scored 10 points higher than Bama on the first test, 10 points lower than her on the second test, and 20 points higher on both the third and fourth tests. What is the difference between Jaya's average and Bama's average on these four tests?

Bama and Jaya each took four 100-point tests. Bama got an average of 78 on the four tests. Jaya scored 10 points higher than Bama on the first test, 10 points lower than her on the second test, and 20 points higher on both the third and fourth tests. What is the difference between Jaya's average and Bama's average on these four tests? Correct Answer 10

Given:

Bama and Jaya each took four 100-point tests. Bama got an average of 78 on the four tests. Jaya scored 10 points higher than Bama on the first test, 10 points lower than her on the second test, and 20 points higher on both the third and fourth tests.

Calculation:

Let Bama score in each test be qual to its average i.e. 78

⇒ Jaya first test score = 78 + 10 = 88

⇒ Jaya second test score = 78 - 10 = 68

⇒ Jaya third test score = 78 + 20 = 98

⇒ Jaya fourth test score = 78 + 20 = 98

⇒ Jaya average = (88 + 68 + 98 + 98)/4 = 352/4 = 88

∴ required Difference of average = 88 - 78 = 10