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The sum of two numbers is 58 and the difference is 18. What are the numbers?

User Lony
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2 Answers

3 votes

Answer:

x=38 y=20

Explanation:

x+y=58

x-y=18

combine

2x=76

x=38

38+y=58

-38 -38

y=20

User Yuna
by
8.2k points
3 votes

Answer And step-by-step explanation: The sum of x and y is 58. In other words, x plus y equals 58 and can be written as equation A:

x + y = 58

The difference between x and y is 18. In other words, x minus y equals 18 and can be written as equation B:

x - y = 18

Now solve equation B for x to get the revised equation B:

x - y = 18

x = 18 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 58

18 + y + y = 58

18 + 2y = 58

2y = 40

y = 20

Now we know y is 20. Which means that we can substitute y for 20 in equation A and solve for x:

x + y = 58

x + 20 = 58

X = 38

Summary: The sum of two numbers is 58 and their difference is 18. What are the two numbers? Answer: 38 and 20 as proven here:

Sum: 38 + 20 = 58

Difference: 38 - 20 = 18

Hope this is helpful if it is can I be marked With Crown?

User Karl Rosaen
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