Question

in a 2 digit number the tens digit exeeds the ones digit by 4 . tf the sum of the two digits is one seventh of the number find the number​

Answer 1

$\bold\purple{♡}{\red{\underline{\blue{\mathbf{Question}}}}}\bold\blue{♡}$

In a 2 digit number the tens digit exeeds the ones digit by 4 . tf the sum of the two digits is one seventh of the number find the number .

$\boxed{\fcolorbox{purple}{pink}{ -:\:Answer\::-}}$

Let the number is 10y+x where x is the unit digit and y is the ten's digit. Then by the given question,

$y=x+6$

$10y+x=10(x+y)$

$10y+x=10x+10y$

$x−10x=0⇒x=0$

$y=0+6⇒y=6$

$\bold\purple{-}{\red{\underline{\blue{\mathbf{then \: the given \: no \: is }}}}}\bold\blue{:-}$

$\boxed{\fcolorbox{purple}{pink}{ 10\:×\:6 \:+\:0\: = \:60}}$

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