The ratio of sum of two numbers to their difference is 5 : 1. What is the ratio of the sum of their squares to the difference of their squares?
A.13 : 5✓ Correct
B.25 : 1
C.9 : 4
D.16 : 1
Explanation
Let numbers be a and b with a > b. (a+b)/(a-b) = 5/1, so a+b = 5(a-b), giving a+b = 5a-5b, 6b = 4a, so a/b = 3/2. Let a = 3, b = 2. Sum of squares = 9 + 4 = 13. Difference of squares = 9 - 4 = 5. Ratio = 13 : 5.
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