SOLUTION: The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ?

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Question 659089: The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ?
Found 2 solutions by nicy12, MathTherapy:
Answer by nicy12(9) About Me  (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)
i hope it helped you :)




Answer by MathTherapy(10552) About Me  (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 the larger number be L, and the smaller, S
Then L - S = 11 ----- eq (i)
Also, 2S + 3L = 123 ------- eq (ii)

You now a system of 2 equations that you can solve using any method of your choosing.

This should give you L, or larger number being highlight_green%2829%29, and S, or smaller number being highlight_green%2818%29

You can also do the check!!!

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