Question

The digit of a two-digit number differ by 3. If the digit are interchanged, and the resulting number is added to the original no.,we get 143. What can be the original no.?​

Answer 1

$\bold{\red{ANSWER}}$

$\rm{85}$

$\mathbb{\pink{EXPLANATION}}$

$\rm{Let\:The\:Required\:Two\:Digit\:Number\:Be\:xy}$

$\rm{This\:Two\:Digit\:Number\:Can\:Be\:Written\:Like\:This}$

$\boxed{\pink{10x+y}}$

$\boxed{\rm{When\:Digits\:Are\:Interchanged\:The\:New\:Number\:Becomes}}$

$\boxed{\pink{10y+x}}$

$\boxed{\pink{ACCORDING\:TO\:THE\:QUESTION}}$

$\rm{x-y=3}$...$\rm{Equation\:01}$

$\rm{10x+y+10y+x=143}$

$\rm{11x+11y=143}$

$\rm{x+y=\frac{13\times11}{11}}$

$\rm{x+y=13}$...$\rm{Equation\:02}$

$\boxed{\red{Now\:Add\:Both\:The\:Equations\:We\:Have}}$

$\rm{2x=16}$

$\rm{x=8}$

$\boxed{\rm{\red{Now\:Put\:The\:Value\:Of\:x\:In\:Equation\:01\:We\:Have}}}$

$\rm{8-y=3}$

$\rm{8-3=y}$

$\rm{y=5}$

$\therefore$$\rm{The\:Two\:Digit\:Number\:is\:\:\:85}$

Answer 2

Answer:

Step-by-step explanation:

\rm{x-y=3}...\rm{Equation\:01}

\rm{10x+y+10y+x=143}

\rm{11x+11y=143}

\rm{x+y=\frac{13\times11}{11}}

\rm{x+y=13}...\rm{Equation\:02}

\boxed{\red{Now\:Add\:Both\:The\:Equations\:We\:Have}}

\rm{2x=16}

\rm{x=8}

\boxed{\rm{\red{Now\:Put\:The\:Value\:Of\:x\:In\:Equation\:01\:We\:Have}}}

\rm{8-y=3}

\rm{8-3=y}

\rm{y=5}

\therefore\rm{The\:Two\:Digit\:Number\:is\:\:\:85}