Posted by daniel on .
the sum of two numbers is the same as four times the smaller number.if twice the larger is decreased by the smaller,the result is 30.find the numbers

algebra 
Reiny,
let x be the smaller, and y the larger
x+y = 4x
2y  x = 30
solve the two equations.
I would take the first down to y = 3x and use substitution 
algebra 
tchrwill,
From the first statement, x + y = 4x, or y = 3x, x being the smaller number.
From the second statement, 2y  x = 30.
Substitute the first into the second and you are on your way.