SOLUTION: PLERASE HELP! uSE THE 5 STEP METHOD. SHOW WORK. tHE SUM OF TWO NUMBERS IS 20. sIX TIMES THE LARGER NUMBER DECREASED BY TWO TIMES THE SMALLER NUMBER IS 48. fIND THE NUMBERS. THA

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: PLERASE HELP! uSE THE 5 STEP METHOD. SHOW WORK. tHE SUM OF TWO NUMBERS IS 20. sIX TIMES THE LARGER NUMBER DECREASED BY TWO TIMES THE SMALLER NUMBER IS 48. fIND THE NUMBERS. THA      Log On

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Question 504280: PLERASE HELP!
uSE THE 5 STEP METHOD. SHOW WORK.
tHE SUM OF TWO NUMBERS IS 20. sIX TIMES THE LARGER NUMBER DECREASED BY TWO TIMES THE SMALLER NUMBER IS 48. fIND THE NUMBERS.
THANKS IN ADVANCE!

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x = one number
y = another number
.
x + y = 20
x = 20 - y
.
6y - 2x = 48
.
6y -2(20 -y) = 48
6y - 40 +2y = 48
8y -40 = 48
8y = 88
y = 11
.
substitute
.
x = 20-y
x = 9
.
Always check the solution.
.
6(11) -2(9) = ?
66 -18 = 48
Correct.
.
Answer: The two numbers are 9 and 11.
.
Done.