Problema Solution
The digits of two digit number is differ by 3.if the digits are interchanged and the resulting no. Is added to the original number we get 121.what can be the original number.
Answer provided by our tutors
Let the digits be: x (the tens) and x-3 (the units), where x is a number from the set {0,1,2,3,4,5,6,7,8,9}.
no. = 10x +x-3 = 11x -3
no.obtained by reversing order of digits = 10(x - 3) + x = 10x -30+x = 11x -30
11x -3+11x-30 = 121
22x - 33 = 121
x = (121 + 33)/22
x = 7
x - 3 = 7 - 3 = 4
no. = 11*7 -3 = 74
The original number is 74.