sum of two is 42 and their difference is 8 find the numbers
Answers
Answer:
34 and 8
Step-by-step explanation:
42-8=34
34+8=42
Answer:
The sum of x and y is 42. In other words, x plus y equals 42 and can be written as equation A:
x + y = 42
The difference between x and y is 8. In other words, x minus y equals 8 and can be written as equation B:
x - y = 8
Now solve equation B for x to get the revised equation B:
x - y = 8
x = 8 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 42
8 + y + y = 42
8 + 2y = 42
2y = 34
y = 17
Now we know y is 17. Which means that we can substitute y for 17 in equation A and solve for x:
x + y = 42
x + 17 = 42
X = 25
Summary: The sum of two numbers is 42 and their difference is 8. What are the two numbers? Answer: 25 and 17 as proven here:
Sum: 25 + 17 = 42
Difference: 25 - 17 = 8