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The sum of two numbers is 24 and their difference is 12. What are the numbers?

Representation :
Equation :
Solution :
Finaly answer : ( , )



Sagot :

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