Question

The Probduct of two consuctive natural number is 420.
find the number.

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Answer 1

$\huge \boxed{ \fcolorbox{cyan}{grey}{Answer : }}$

$\sf{let \: the \: number \: be \: x}$

$\sf{other \: number \: be \:x + 1}$

$\rm{the \: productive \: of \: two \: number \: is}$

$\rm{ = 420}$

so..from the question

______________________________

$\sf{x \times (x + 1) = 420}$

$\sf{ {x}^{2} + x - 420}$

then solving the qudratic equation

$\sf{x = 20}$

$\sf{ \boxed{ \red{ \sf{(x + 1) = 21 \: }}}}$

$\sf{ \boxed{ \sf{So \: , two \: numbers \: are \: 20 \: and \: 21 \: }}}$