SOLUTION: Two numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. Find the numbers.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Two numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. Find the numbers.      Log On


   

Question 403633: Two numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. Find the numbers.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
L - S = 11,
L%2FS+=+2+%2B+4%2FS
The top equation gives L = S + 11.
Multiplying both sides of the bottom equation by S, we get L = 2S + 4.
Hence S + 11 = 2S + 4, or S = 7, the smaller number, and L = S + 11 = 18, the larger number.