Question

A number consists of two digits whose sum is $13$. If $27$ is subtracted from the number , the digits are reversed. Find the number.

Answer 1

$Let$ that no. be $10x+y$

$Given,$ $x+y=13$..........1

According to question,$10x+y-27=10y+x$

$9x-9y=27$

$x-y=3$ .........2

Now substitute the value of $x$ from 2 to 1

$y+3+y=13$

$2y=10$

$y=5$

Now put the value of y in 2

$x-5=3$

$x=8$

so, that no. is $10\left(8\right)+5$ $=$ $85$