SOLUTION: a two digit number is formed by using two consecutive integers, such that the smaller integer takes the tens place. by what percentage is the number obtained by reversing the digit
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: a two digit number is formed by using two consecutive integers, such that the smaller integer takes the tens place. by what percentage is the number obtained by reversing the digit
Log On
Question 1081958: a two digit number is formed by using two consecutive integers, such that the smaller integer takes the tens place. by what percentage is the number obtained by reversing the digits more than the original number? Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! a two digit number is formed by using two consecutive integers, such that the smaller integer takes the tens place. by what percentage is the number obtained by reversing the digits more than the original number?
————————————————————————————
12 —> 21 ==> 9/12 = 0.75 or 75% increase from 12 to get to 21
45 —> 54 ==> 9/45 = 0.20 or 20% increase from 45 to get to 54
Since the percentage is a function of what the original two digit number is, the best we can do is find a formula for the percentage increase.
Let n be the initial (ten's) digit in the unswapped number (e.g. n=1 in 12):
Then our two digit number is 10n + (n+1) = 11n + 1
Swapping digits will always increase the number by 9 so the percentage increase is: %
