SOLUTION: Find two consecutive integers such that the sum of one-third the first and one-fourth the second is nine.

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Question 170446This question is from textbook e-math
: Find two consecutive integers such that the sum of one-third the first and one-fourth the second is nine. This question is from textbook e-math

Answer by maali40(13) About Me  (Show Source):
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Two consecutiive integers N and (N+1) where N/3+(N+1)/4=9 N*4/12 +(N+1)*3/12=9 4*N+3*N+3=12*9 7*N=108-3 N=105/7 N=15 (N+1)=16 ______________________________ N/M +(N+1)/(M+1) = ((2M+1)N+M)/(M(M+1))= 2+j(2M+1) When N=M+jM(M+1) for j=0,1,2 ,,,,j IS NOT THAT GENERAL??