Question
Three numbers are in the ratio 1:2:2, and the sum of their
squares is 225. What is the average of the two largest numbers?Solution
ATQ;
Let the numbers be x, 2x, and 2x.
Then:
x² + (2x)² + (2x)² = 225
⇒ x² + 4x² + 4x² = 225
⇒ 9x² = 225
⇒ x² = 25
⇒ x = 5
So, the numbers are 5, 10, 10
Required average = (10 + 10) ÷ 2 = 10
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