Question

Juan scored 15 points more on this test than

Answer 1

Juan's least integer scores in both tests will be 85 and 100 respectively.

• Test average of his two scores is atleast 92

Let :

• Score on test 1 = b
• Score on test 2 = b + 15

Average score can be related thus:

• (Sum of score ÷ number of test) ≥ 92
• (b + b + 15) ÷ 2 ≥ 92
• (2b + 15) ÷ 2 = 92
• 2b + 15 = 184
• 2b = 184 - 15
• 2b = 169
• b = 169 ÷ 2
• b = 84.5

Therefore, since both scores are integers, his least scores on both tests will be ::

• 85 and (85 + 15) = 100

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