Answer:
representatio: 24and 12
equation: x+y24
solution:x + y = 24
x + 6 = 24
x = 18
finaly ans: (18-6 = 12)
Step-by-step explanation:
The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:
x + y = 24
The difference between x and y is 12. In other words, x minus y equals 12 and can be written as equation B:
x - y = 12
Now solve equation B for x to get the revised equation B:
x - y = 12
x = 12 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 24
12 + y + y = 24
12 + 2y = 24
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 = 24
x + 6 = 24
X = 18
Summary: The sum of two numbers is 24 and their difference is 12. What are the two numbers? Answer: 18 and 6 as proven here:
Sum: 18 + 6 = 24
Difference: 18 - 6 = 12