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4 years ago

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

Mathematics

1 answer:

irga5000 [103]4 years ago

7 0

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

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