Two numbers are in the ratio 2 : 3. If their sum is 20, then what is the sum…
2021
Two numbers are in the ratio 2 : 3. If their sum is 20, then what is the sum of the squares of the two numbers?
Answer: A. 208 — Solution: Find the two numbers and compute the sum of their squares. Let the two numbers be 2x and 3x. Their sum is 2x + 3x = 5x. Since the sum is 20, 5x = 20…
- A.
208
- B.
196
- C.
200
- D.
324
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Correct answer: A
Solution: Find the two numbers and compute the sum of their squares.
Let the two numbers be 2x and 3x.
Their sum is 2x + 3x = 5x. Since the sum is 20, 5x = 20 ⇒ x = 4.
So the numbers are 8 and 12.
Sum of squares = 8^2 + 12^2 = 64 + 144 = 208.
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