The number obtained by interchanging the digits of a two-digit number is less than the original number by 36. The sum of the digits of the number is 8. What is the original number ?
Pick one:
A) 71
B) 62
C) 53
D) 35
E) 45

Rationale: explanation : let the number be 10 x + y . ∴ x + y = 8 . . . . . ( i ) 10 x + y - ( 10 y + x ) = 36 ∴ 9 ( x - y ) = 3 ∴ x - y = 4 . . . . . . . ( ii ) from equation ( i ) and ( ii ) : x = 6 , y = 2 ∴ number = 62 answer : option b
Answer: B