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3. The sum of two numbers is 26 and their difference is 14, find the numbers. |
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Answer» Answer: Step-by-step explanation: The sum of two numbers is 26 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y. The sum of x and y is 26. In other words, x plus y equals 26 and can be written as EQUATION A: x + y = 26 The difference between x and y is 14. In other words, x MINUS y equals 14 and can be written as equation B: x - y = 14 Now solve equation B for x to get the revised equation B: x - y = 14 x = 14 + y Then substitute x in equation A from the revised equation B and then solve for y: x + y = 26 14 + y + y = 26 14 + 2y = 26 2y = 12 y = 6 Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x: x + y = 26 x + 6 = 26 X = 20 Summary: The sum of two numbers is 26 and their difference is 14. What are the two numbers? Answer: 20 and 6 as proven here: Sum: 20 + 6 = 26 Difference: 20 - 6 = 14 l HOPE it's helps help ✨❤️ |
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