Mistakes give rise to Problems- 8

Algebra Level 2

In Chemistry\color{#69047E}{\textbf{Chemistry}} you are allowed the following type of addition (the addition reaction) C+O2    CO2\mathrm{C+O_2 \implies CO_2}

But if you do it in Maths\color{#3D99F6}{\textbf{Maths}} for numbers,a+b=ab\displaystyle \color{#3D99F6}{a+b=ab} it will be a big mistake!\color{#D61F06}{\textbf{big mistake!}}


But for how many pairs of integers (a,b)\color{#20A900}{\text{integers (a,b)}} is the above said "false\color{#D61F06}{false}" property seen to be "true\color{#20A900}{true}" ?


Details and assumptions:-

\bullet Here ab\textbf{ab} means a×ba\times b, not the representation in decimal system (i.e. abab is a×ba\times b and NOT\color{#D61F06}{\mathrm{NOT}} 10a+b10a+b )


This problem is a part of the set Mistakes Give Rise To Problems !!! .

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