The sum of two numbers is 7 and the sum their squares is 23, their product is equal to:
Let the numbers be $$x$$ and $$y$$
It is given that $$x^2+y^2=23$$ -----------(i)
Also, $$x+y=7$$
Squaring both sides, we get :
=> $$x^2+y^2+2xy=49$$
=> $$23+2xy=49$$
=> $$2xy=49-23=26$$
=> $$xy=\frac{26}{2}=13$$
$$\therefore$$ Product of the numbers =Â 13
=> Ans - (D)
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