The sum of two numbers is 25 and their difference is 13. Find their product. D. 325 c. 104 114 315

Sure, let's solve this step by step.

Step 1: Let's denote the two numbers as x and y. According to the problem, we have two equations:

x + y = 25 (equation 1, given that the sum of the two numbers is 25)

x - y = 13 (equation 2, given that the difference of the two numbers is 13)

Step 2: We can solve these two equations simultaneously. Let's add equation 1 and equation 2:

x + y + x - y = 25 + 13

This simplifies to:

2x = 38

Divide both sides by 2 to solve for x:

x = 38 / 2 = 19

Step 3: Now that we have the value for x, we can substitute it into equation 1 to solve for y:

19 + y = 25

Subtract 19 from both sides:

y = 25 - 19 = 6

Step 4: Now that we have both x and y, we can find their product:

x * y = 19 * 6 = 114

So, the product of the two numbers is 114.