Question 51

The sum of two positive integers is 80 & difference between them is 20. Then what is difference of squares of those numbers ?

Solution

Let the positive integers be $$x$$ and $$y$$

Sum = $$x+y=80$$ -------(i)

Difference = $$x-y=20$$ -----(ii)

$$\therefore$$ Difference of squares = $$x^2-y^2=(x+y)(x-y)$$

= $$80 \times 20=1600$$

=> Ans - (B)


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