<PRE><B>Question 267378</B>
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
&quot;the sum of the greater number and 3 times the lesser number is 54.&quot;
18 + 3(12) = 54
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