john's solutions

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the teacher gave john following two equations in x and y: x-y=a,x/y=b john is very good in mathematics but still he can't find unique answer of x + y given that, find a+b?

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Daanish Bansal
Jan 13, 2014

there is no unique solution of x+y hence x=y=0/0 solving two equations we get y=a/(b-1)=0/0 hence a=0 and b=1,a+b=1

Though my method uses unwarranted assumptions, still I am writing it here:

Manipulating $\displaystyle\frac{x}{y}=b=\frac{-b}{-1}$ . Comparing to get $x=-b$ and $y=-1$ . Using this in $x-y=a$ $\rightarrow\,a+b=1$ .

Nishant Sharma - 7 years, 3 months ago

john's solutions

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