**The sum of two numbers is 25 and their difference is 13. Find their product.**

**A.** 99

**B.** 177

**C.** 255

**D.** 114

Solution

Let the numbers be x and y.

Then, x + y = 25 and x – y = 13.

4xy = (x + y)^{2} – (x- y)^{2}

= (25)^{2} – (13)^{2}

= (625 – 169)

= 456

**xy = 114.**

**Answer: D**

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