rohankant12
Which of the two numbers m and n is greater?
(1) 18m + 39q = 60
(2) 12n + 26q = 38
Can any one tell me whether the method I used is correct?
Since we do not have to get the exact value of m or N. I assumed q to be 1 (also tried with 0) and then worked out M & N
Please advise.
Please put your question/analysis under "spoiler".
As for this question, clearly 2 statements alone are not sufficient.
Combining, you can eliminate q to get an expression m-n = some value. Thus you will definitely get a unique answer for this question.
Your method of putting q=1 is a bit risky as you assumed that you will get an expression of the form m-n= some value. Had it been the case that you got m -2n =4, then m may or may not have been > n and the answer in this case would have been E instead of C.
FYI, for m-2n=4, you will m =n for n =-4 and thus you will get a "no answer" for which one is greater, while for n =2 you will get that m >n. Thus 2 answers possible, leading to E instead of C.
A risk free way of solving the given question is:
18m+39q = 60
12n+26q=38. Clealy you see that LCM of 26 and 39 = 13*2*3 = 78.
Thus, by multiplying the 1st equation by 2 and the scond equation by 3 and performing (1)-(2), you get
36(m-n) = 66 ---> m-n>0 ---> m>n.
Hope this helps.