Question

Sum of the digits of a two digit number is 11. The given number is less than the number obtained by interchange the digits by 9. Find the number

Answer 1

Answer:

65 and 56

Step-by-step explanation:

    (10x + y) - (10y + x) = 9

or,  10 x + y - 10y -x =9

or,  9x - 9y = 9

or, x - y = 1....... (i)

now, x + y = 11........ (ii)

adding (i) and (ii),

2x = 12  or, x = 6    

∴ y = 5  

so the numbers are 65 and 56