Question

When the digit of a two-digit number are reversed, it becomes 5/6 of itself. Find the number, if its ten's digit is one more than the units digit

Answer 1

If x is the teens digit and y is the units digit
the number is 10x+y
now reversing the digits
new number is 10y+x

$10y + x = \frac{5}{6} \times( 10x + y)$
also x=y+1

substitute in the equation and the answer is 54