SOLUTION: Two numbers are in a ratio of 6 to 7. If the first is increased by 2 and the second is increased by 1, the resulting numbers are in the ratio of 4 to 5. Find the original numbers.

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Question 1024227: Two numbers are in a ratio of 6 to 7. If the first is increased by 2 and the second is increased by 1, the resulting numbers are in the ratio of 4 to 5. Find the original numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
M%2FN=6%2F7
7M=6N
35M=30N
.
.
%28M%2B2%29%2F%28N%2B1%29=4%2F5
5%28M%2B2%29=4%28N%2B1%29
5M%2B10=4N%2B4
5M=4N-6
35M=28N-42
Substituting from above,
30N=28N-42
2N=-42
N=-21
So then,
7M=6%28-21%29
M=-18