Question

The sum of digits of a two dugit number is 11.if the digit in tens place is increased by 5 and the sigit in units place is dcreased by 5the digits of the number are foind to be reversed.find the original numbe

Answer 1

first lets write down numbers which follow "The sum of digits of a two dugit number is 11"

29

38

47

56

65

74

83

92

because of "tens place is increased by 5" we can take numbers whose tens place is less than 5 , leaving us with

29

38

47

because of "increased by 5 and the sigit in units place is dcreased by 5the digits" the only number that is valid is the number which has a difference of 5 between its digits and that number is

38!