Question

An integer when divided by (-3) gives quotient 35 and leaves remainder 2. Find the integer

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know}, \\ \mathrm{Dividend}=\mathrm{Divisor}\times \mathrm{Quotient}+\mathrm{Remainder} \\ \mathrm{Here}, \\ \mathrm{Divisor}=-3 \\ \mathrm{Quotient}=35\mathrm{and}\mathrm{remainder}=2 \\ \mathrm{So}, \\ \mathrm{Dividend}=\left(-3\right)\times \left(35\right)+2 \\ =-105+2=-103\mathrm{ANS}... \\ \mathrm{Integer}\mathrm{is}-103. \end{gathered}$$