SOLUTION: The sum of the digits of a two-digit number is 5. If the number is multiplied by 3 and 1 is taken from the result, the digits are reversed. Find the number.

Question 1112782: The sum of the digits of a two-digit number is 5. If the number is multiplied by 3 and 1 is taken from the result, the digits are reversed. Find the number.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be the tens digit and y be the one's digit
:
1) x +y = 5
:
2) 3(10x +y) - 1 = 10y +x
:
solve equation 1 for y
:
y = 5 -x
:
substitute for y in equation 2
:
3(10x +5 -x) -1 = 10(5 -x) +x
:
30x +15 -3x -1 = 50 -10x +x
:
27x +14 = 50 -9x
:
36x = 36
:
************
x = 1
y = 5 -1 = 4
:
the number is 14
:
check the answer
:
3(14) -1 = 42 -1 = 41
:
answer checks
************
RELATED QUESTIONS
if a two-digit number is multiplied by the sum of its digits the result is 198.If it is... (answered by rwm)

The sum of the digits of a certain two digit number is 5. If the number formed by... (answered by mathstutor458)

The unit digit of a two digit number is 1 less than the tens digit. If the number is... (answered by ikleyn)

the sum of the digits of a two digit number is 15. if the digits are interchange the... (answered by palanisamy)

The ten's digit of a certain two digit number is twice the units digit.If the number is... (answered by ptaylor)

The sum of the digits if a certain two digit number is 6. If the original number is... (answered by Alan3354)

the sum of the digits of a two digit number is 14. if the number represented by reversing (answered by arunpaul)

The sum of the digits of a two-digit number is 14. If the number represented by reversing (answered by checkley71)

The sum of the digits of a two-digit number is 14. If the number represented by reversing (answered by Paul)