SOLUTION: A number consists of two digits whose sum is five. When the digits are reversed, the number is increased by nine. Find the number.

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Question 32012This question is from textbook
: A number consists of two digits whose sum is five. When the digits are reversed, the number is increased by nine. Find the number. This question is from textbook

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the ten digit number be x
Let the one digit number be y

x+y=5

y=5-x (subsitution)

WHen the digit is reversed:

10y+x=10x+y+9

Subsitute for y:

10(5-x)+x=10x+5-x+9

50-10x+x=10x+14-x

50-9x=9x+14

18x=36

x=2

y=5-2

y=3

Hence, the 10 digit number is 2 and the one digit number is 3.

The number is 23.

Paul.