Problema Solution

A number of two digit is such that twice the tenth digit is 6 greater than the unit digits.When the digits are reversed,the number is increased by 9.

Answer provided by our tutors

let  number is 10*x + y where x and y are between 0 and 9

then from given information we have 

2*x = y + 6   and   10x + y + 9 =10y + x 

from 1st we get  y= 2*x - 6  now put it into 2nd

9(2x - 6) -9x = 9  ==>   x= 63/9 = 7

now y = 2x - 6 = 14 - 6 = 8

so numbr is 87