Find the product of two numbers that have a sum of 268 and a difference of 122 Question Find the product of two numbers that have a sum of 268 and a difference of 122 in progress 0 Math Katherine 1 week 2021-10-05T01:23:04+00:00 2021-10-05T01:23:04+00:00 1 Answer 0

## Answers ( )

The 2 number’s product = 195 × 73 = 14235Step-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 = 268Difference of the 2 numbers = 122

So

x – y = 122Step 2 :Adding the 2 equations obtained in step 1 ,

we have

2 x = 390 = >

x = 195x + y = 268y = 268 – x = 268 – 195 = 73

y = 73Product of x and y is 195 × 73 = 14235

Step 3 :AnswerThe 2 number’s product = 195 × 73 = 14235