Find the product of two numbers that have a sum of 268 and a difference of 122

The 2 number's product = 195 * 73 = 14235

Step-by-step explanation:

Step 1:

Let x be the first number and y be the second number

Given,

Sum of the 2 numbers = 268

So x + y = 268

Difference of the 2 numbers = 122

So x - y = 122

Step 2:

Adding the 2 equations obtained in step 1,

we have

2 x = 390 = > x = 195

x + y = 268

y = 268 - x = 268 - 195 = 73

y = 73

Product of x and y is 195 * 73 = 14235

Step 3:

Answer

The 2 number's product = 195 * 73 = 14235