SOLUTION: If one number us added to twice another number, the answer is 68. If twice the first number is added to three times the other number, the answer is 112. What are the number?

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Question 997996: If one number us added to twice another number, the answer is 68. If twice the first number is added to three times the other number, the answer is 112. What are the number?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= first number
y= second number
Total sold
1 x + 2 y = 68 .............1
Total value
2 x + 3 y = 112 .............2
Eliminate y
multiply (1)by -3
Multiply (2) by 2
-3 x -6 y = -204
4 x + 6 y = 224
Add the two equations
1 x = 20
/ 1
x = 20
plug value of x in (1)
1 x + 2 y = 68
20 + 2 y = 68
2 y = 68 -20
2 y = 48
y = 24
x= 20 first number
y= 24 second number
m.ananth@hotmail.ca