SOLUTION: 1. Find the value of 2 if their sum is 54 and thei difference is 4 2.Find the value of 2 numbers if their number is 13.Their sum is 67. Find the numnbers PS- please show wo

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 1. Find the value of 2 if their sum is 54 and thei difference is 4 2.Find the value of 2 numbers if their number is 13.Their sum is 67. Find the numnbers PS- please show wo      Log On

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Question 926067: 1. Find the value of 2 if their sum is 54 and thei difference is 4
2.Find the value of 2 numbers if their number is 13.Their sum is 67. Find the numnbers
PS- please show work thank you!
Answer by Roseghanezadeh(16) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
1. Ok so it says that the sum of two numbers is 67 and their difference is 4. So we can write:
x + y = 54
x - y = 4
Now using any of the above you have to make x stand by itself on one side:
x = 4 + y
And now we substitute "x" with "4 + y" on the other equation:
4 + y + y = 54
2y = 54 - 4
y = 25
Now we know that " x= 4 + y " so:
x = 4 + 25 = 29
Now lets check and see if our answer is correct or not:
29 + 25 = 54
29 - 25 = 4

2. You have to do the exact same for this question:
x + y = 67
x - y = 13
x = 13 + y
13 + y + y = 67
2y = 54
y = 27
x = 13 + 27 = 40
Check:
40 + 27 = 67
40 - 27 = 13