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