The sum of two numbers is 7 and the sum of their squares is 25 The product of the two numbers is ........

Quantitative Aptitude (CDS) Number System

The sum of two numbers is 7 and the sum of their squares is 25. The product of the two numbers is

Let the two numbers be x and y
x+ y = 7
x²+ y² = 25
xy =?
Now (x + y)² = (x² + y²) + 2xy
72 = 25 + 2xy
24 = 2xy
xy= 12

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