Question

The sum of digit of a 2 digit number is 9 the numberis 6 times the unit digit find the

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• Sum of digits of 2 digit number is 9

• Original number is 6 times the unit digit.

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Original number

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Let the tens digit be 'x'

Let the unit digit be 'y'

$\:\:$

$\underline{\bold{\texttt{Original number will be }}}$

$\:\:$

$\red\longrightarrow$$\sf 10x + y$

$\:\:$

$\purple{\underline \bold{According \: to \: the \ question :}}$

$\:\:$

$\purple\longrightarrow$ $\sf x + y = 9$ ------(1)

$\:\:$

Also,

$\:\:$

$\purple\longrightarrow$ $\sf 10x + y = 6y$

$\:\:$

$\sf \longmapsto 10x - 5y = 0$

$\:\:$

$\underline{\bold{\texttt{Dividing the equation by 5}}}$

$\:\:$

$\sf \longmapsto 2x - y = 0$ -------(2)

$\:\:$

$\underline{\bold{\texttt{Adding (1) \& (2)}}}$

$\:\:$

$\sf \longmapsto 3x = 9$

$\:\:$

$\sf \longmapsto x = 3$

$\:\:$

$\underline{\bold{\texttt{Putting x = 3 in (1)}}}$

$\:\:$

$\sf \longmapsto 3 + y = 9$

$\:\:$

$\sf \longmapsto y = 6$

$\:\:$

Hence the original number will be 36

$\rule{200}5$

Answer 2

Step-by-step explanation:

pls make it brainlest answer