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15 Sep 2005, 10:45
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If m and n are positive integers, are m and n consecutive integers?
1)m^2 = n^2 + n + m
2)n^2 = m^2 - 2m + 1
:pc
1)m^2 = n^2 + n + m
2)n^2 = m^2 - 2m + 1
:pc
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15 Sep 2005, 10:56
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D)
Question Stem, m>0, n>0
1) Suff
Pick a positive value for either m or n=> you get a neg & pos root of the quadratic equation. Question stem tells us it cannot be neg. And the positive value is the consecutive value.
2) Suff
Same explanation.
Question Stem, m>0, n>0
1) Suff
Pick a positive value for either m or n=> you get a neg & pos root of the quadratic equation. Question stem tells us it cannot be neg. And the positive value is the consecutive value.
2) Suff
Same explanation.
15 Sep 2005, 10:59
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D. Plugging in numers shows that shows this.
1. m^2=n^2 +n+m, m^2-m=n^2+n, m(m-1)=n(n+1). Plug in numbers. Sufficient
2. Same reasoning. Sufficient
1. m^2=n^2 +n+m, m^2-m=n^2+n, m(m-1)=n(n+1). Plug in numbers. Sufficient
2. Same reasoning. Sufficient
