The product of two numbers is 45 and their difference is

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The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

Let the numbers be x and y and x > y.
∴ xy = 45
and x – y = 4
∴ x² + y² = (x – y)² + 2xy
= (4)² + 2 × 45 = 16 + 90
= 106