# Mistakes give rise to Problems- 8

Algebra Level 2

In $$\color{Purple}{\textbf{Chemistry}}$$ you are allowed the following type of addition (the addition reaction) $\mathrm{C+O_2 \implies CO_2}$

But if you do it in $$\color{Blue}{\textbf{Maths}}$$ for numbers,$\displaystyle \color{Blue}{a+b=ab}$ it will be a $$\color{Red}{\textbf{big mistake!}}$$

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

Details and assumptions:-

$$\bullet$$ Here $$\textbf{ab}$$ means $$a\times b$$, not the representation in decimal system (i.e. $$ab$$ is $$a\times b$$ and $$\color{Red}{\mathrm{NOT}}$$ $$10a+b$$ )

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

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