Question 46

Sum of two numbers is 17, whereas sum of their squares is 145. What is the product of the two numbers?

Solution

Let the two numbers be $$x$$ and $$y$$

=> Sum = $$x+y=17$$

Squaring both sides, we get : $$(x+y)^2=(17)^2$$

=> $$x^2+y^2+2xy=289$$

Also, it is given that $$x^2+y^2=145$$

=> $$2xy=289-145=144$$

=> $$xy=\frac{144}{2}=72$$

=> Ans - (A)

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