SOLUTION: four times a number added to another number is 36. Three times the first number minus the other number is 20. Can you please tell me the numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: four times a number added to another number is 36. Three times the first number minus the other number is 20. Can you please tell me the numbers      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 401359: four times a number added to another number is 36. Three times the first number minus the other number is 20. Can you please tell me the numbers
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"Four times a number added to another number is 36. Three times the first number minus the other number is 20. Can you please tell me the numbers."

x = the number
y = other number

4x + y = 36 {four times a number added to another number is 36}
3x - y = 20 {three times the 1st minus other is 20}
-----------
7x = 56 {added the two equations together and eliminated the y}
x = 8 {divided both sides by 7}
The first number is 8.

4x + y = 36 {top equation}
4(8) + y = 36 {substituted 8 in for x}
32 + y = 36 {multiplied 4 by 8}
y = 4 {subtracted 32 from both sides}
The other number is 4.

8 and 4 are the two numbers.

www.algebrahouse.com