Question 49

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

Solution

Let the numbers be x and y
It is given,
xy = 45
x - y = 4
squaring on both sides, we get
$$x^2+y^2-2xy\ =\ 16$$
$$x^2+y^2$$ = 16 + 2(45) = 106

Answer is option A.

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