SOLUTION: One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. Find the two numbers. (Show the two equations you used and then your soluti

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. Find the two numbers. (Show the two equations you used and then your soluti      Log On


   

Question 176577: One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. Find the two numbers. (Show the two equations you used and then your solution)

Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the first number A, second number B.
"One number is 18 more than another"
1.B=A%2B18
"the sum of the smaller number and twice the larger number is 45"
2.A%2B2%2AB=45
Substitute eq. 1 into eq. 2 and solve for A.
2.A%2B2%2AB=45
A%2B2%2A%28A%2B18%29=45
A%2B2A%2B36=45
3A=9
highlight%28A=3%29
From eq. 1,
1.B=A%2B18
B=3%2B18
highlight%28B=21%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller # be S, and the larger # L
Therefore,
L - S = 18
2L + S = 45
3L = 63
L = 21
21 - S = 18
S = 3

Smaller number is 3, and larger number is 21