SOLUTION: how do i solve and write two equations for the sum of two numbers is 30. the sum of the greater number and 3 times the lesser number is 54. Find both numbers?

Question 267378: how do i solve and write two equations for the sum of two numbers is 30. the sum of the greater number and 3 times the lesser number is 54. Find both numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
how do i solve and write two equations:
for the sum of two numbers is 30.
x + y = 30
:
the sum of the greater number and 3 times the lesser number is 54.
x + 3y = 54
x + y = 30; subtract the 1st equation from the 2nd equation, eliminate x
------------
2y = 24
y = 12
then
x = 30 - 12 = 18
;
:
Check solution in the statement
"the sum of the greater number and 3 times the lesser number is 54."
18 + 3(12) = 54

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