Question

please answer this above​

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: Suppose, \: }} \\ \\ \: \: \: \: \: \: \bold{The \: \: number \: \: that \: \: Sherya \: \: thinks \: \: be \: \: x.} \\ \\ \underline{ \mathfrak{ \: Given, \: }} \\ \\ \bold{If \: \: she \: \: adds \: \: 19 \: \: to \: \: it, \: the \: \: number \: \: will \: \: be \: \: x+19.} \\ \bold{</p><p>If \: \: she \: \: divides \: \: (x+19) \: \: by \: \: 5 \: \: she \: \: will \: \: get \: \: 8.} \\ \\ \text{Therefore,} \\ \\ \mathbb{ \underline{ \: \: A.T.Q. \: \: }} \\ \\ </p><p>$

$\: \: \: \: \: \mathsf{ \frac{x + 19}{5} = 8} \\ \\ \mathsf{\Longrightarrow x +1 9 = 8 \times 5} \\ \\ \mathsf{\Longrightarrow x + 19 = 40} \\ \\ \mathsf{\Longrightarrow x = 40 - 19} \\ \\ \: \: \mathsf{ \therefore \: \: \underline{ \: x = 21 \: }}$

$\bold{\therefore \: \: The \: number \: is \: \: \underline{21}. }$

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: VERIFICATION \: \: } \mid}}}}}$

$\text{The \: number \: is \: \: \red{21}. } \\ \\ \text{ \underline{ \: When \: we \: add \: \: \red{19} \: \: to \: it, \: we \: get \: }} \\ \\ \: \: \: \: \huge {\bold{21 + 19 = 40}} \\ \\ \text{ \underline{When \: we \: divide \: the \: sum \: by \: \red{ 5} , \: we \: get}} \\ \\ \huge{ \bold{ 40 \div 5 = \frac{40}{5} = 8}}</p><p>$