Math, asked by harshraj7529, 3 months ago

solve question 14 irrelevant answers 10 answers will be reported​

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Answered by Anonymous
9

AnswEr-:

  • \dag{\boxed{\sf{The\:\:two\:digit\:number\:is\:31\:}}}

Explanation -:

\sf{Given -:}

  • The tens digit of a two digit number is three times to the unit digit .
  • The sum of the number and the unit digit is 32 .

\sf{To\:Find -:}

  • The number .

\dag{\underline{\mathrm{ Solution\:of\:question-:}}}

  • \sf{Let 's\:Assume -:}

  • The one's digit number be x .

  • \sf{Then  -:}

  • The ten's digit number of a two digit number is three times to the unit digit-:

  • \sf{Then  -:}

  • The tens digit of a two digit number is 3 x .

  • Then ,

  •  \frak{The\:numbers\: -:} \begin{cases} \sf{The\:unit \:digit \:number \:\:is\:= \frak{x  }} & \\\\ \sf{ The\:ten's \:digit \:number \:\:is\:\:=\:\frak{3x }}\end{cases} \\\\

  • \sf{Therefore  -:}

  • \mathrm {\dag{Original \:number \:= 10(3x)\:+ x }}

  • \mathrm {\dag{Original \:number \:= 30x\:+ x }}

  • \mathrm {\dag{Original \:number \:or\:Sum\:of\:number \:= \:31 x }}

  • \sf{Given \:That\:-:}

  • The sum of the number and the unit digit is 32 .

  • Or,

  • \sf{Sum \:of\:number\:+ unit \:Digit= 32}

  • \sf{Here-:}

  • Unit Digit = x

  • Sum of the number = 31 x

\sf{According \:to\:Question \:-:}

  • \longrightarrow{\sf{Sum \:of\:number\:+ unit \:Digit= 32}}

  • \longrightarrow{\sf{31x\:+ x= 32}}

  • \longrightarrow{\sf{32x\:= 32}}

  • \longrightarrow{\sf{x= \dfrac{32}{32}}}

  • \longrightarrow{\sf{x\:= 1}}

Therefore,

  • \boxed{\sf{x\:= 1}}

 \frak{Putting \:x =1\: -:} \begin{cases} \sf{The\:unit \:digit \:number \:\:is\:= \frak{x = 1 }} & \\\\ \sf{ The\:ten's \:digit \:number \:\:is\:\:=\:\frak{3x = 3 \times 1 = 3}}\end{cases} \\\\

  • \boxed{\sf{The\:unit\:digit\:of\:two\:digit\:number\:is\:1\:and\;ten's\:digit\:number\:is\:3}}

\sf{Hence -:}

  • \dag{\boxed{\sf{The\:\:two\:digit\:number\:is\:31\:}}}

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