SOLUTION: One number is 10 more than the other. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?(x=5)

Question 549491: One number is 10 more than the other. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?(x=5)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x-y =10-------------x>y
2y+3x=55
1 x -1 y = 10 .............1
3 x + 2 y = 55 .............2
Eliminate y
multiply (1)by 2
Multiply (2) by 1
2 x -2 y = 20
3 x + 2 y = 55
Add the two equations
5 x = 75.00
/ 5
x = 15
plug value of x in (1)
1 x + -1 y = 10
15 + -1 y = 10
-1 y = 10
-1 y = -5
y = 5

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