SOLUTION: The sum of the two numbers is 54. If the larger is divided by the smaller, the quotient is 2 and the remainder is 3. find the numbers.

Algebra ->  Human-and-algebraic-language -> SOLUTION: The sum of the two numbers is 54. If the larger is divided by the smaller, the quotient is 2 and the remainder is 3. find the numbers.       Log On


   

Question 930816: The sum of the two numbers is 54. If the larger is divided by the smaller, the quotient is 2 and the remainder is 3. find the numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the two numbers is 54.
a + b = 54
:
If the larger is divided by the smaller, the quotient is 2 and the remainder is 3.
a%2Fb = 2 remainder 3
We can write this as
2b = a - 3
-a + 2b = -3
Arrange equations to use elimination
a + b = 54
-a + 2b = -3
--------------addition eliminates a,. find b
3b = 51
b = 51/3
b = 17
Find a
a + 19 = 54
a = 54 - 17
a = 37
:
find the numbers. 37 & 17