Question

the sum of the digits in a two-digit number is equal to 5. if the reverse number is multiplied by 3, the result is 1 more than the original number. find the original number

Answer 1

41

Explanation:

Original number xy

x + y = 5

3 (10y + x) -1 = 10x + y

30y + 3x -1 = 10x + y

7x - 29y + 1 = 0

x = 5 - y

7 (5-y) - 29y +1 = 0

35 - 7y - 29y +1 = 0

36 - 36y = 0

36y = 36

y = 1

x = 5-1 = 4

Original number: 41

check: 4+1=5

3 x 14 - 1 = 42 -1 = 41