Question

the sum of the digits of two number is 8.If the digits be reversed and 10 is subtracted from the new number the result will be twice the original number. find the number.

Answer 1

let no be 10x+y

x+y = 8

y = 8-x

10y+x - 10 = 2(10x+y)

10y+x-10 = 20x + 2y

8y-19x=10

8(8-x)-19x = 10

64-27x = 10

x = 54/27=2

y = 6

the number is 26