Question 978939: The difference between two numbers is 11. Twice the smaller number plus three times the larger number is 123. What are the numbers? Answer by kmarcus1(4) (Show Source):
You can put this solution on YOUR website! "The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ? "
let:
x=larger number
y=smaller number
x-y=1 (equation 1)
2y+3x=123 (equation 2)
-------
solve for 'y':
x-y=1
x=y+1
substitute the x to equation 2 to get the value of 'y'
2y+3x=123
2y+3(y+1)=123
2y+3y+3=123
5y+3=123
y=24
substitute the value of 'y' in equation 1 to get the value of 'x' .
x-y=1
x-24=1
x=25
checking:
x-y=1
25-24=1 (correct)
2y+3x=123
2(24)+3(25)=123
48+75=123 (correct)
