Problems on Numbers - Arithmetic Aptitude Questions and Answers

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The product of two numbers is 300, and the sum of their squares is 625. What are the numbers?

1025

1125

1225

1325

Answer : Option C

Explanation :

Let the numbers be x and y.
As per the question:

xy = 300
x² + y² = 625

So, (x+y)² = x² + y² + 2xy
                  = 625 + 2 * 300
                  = 625 + 600
                  = 1225

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