SOLUTION: you are given a two-digit positive integer . if you reverse the digits of your number, the result is a number which is 20% larger than your number . what is your number ?

Question 316149: you are given a two-digit positive integer . if you reverse the digits of your number, the result is a number which is 20% larger than your number . what is your number ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
you are given a two-digit positive integer .
if you reverse the digits of your number, the result is a number which is 20% larger than your number .
what is your number ?
:
Let 10x + y = "the number
then
10y + x = the reversed number
:
1.2(10x+y) = 10y + x
:
12x + 1.2y = 10y + x
12x - x = 10y - 1.2y
11x = 8.8y
divide both sides by 11
x = .8y
The only single digit value for y that will give an integer value to x, is 5
.8(5) = 4
the digits:
x=4, y=5
45 is the number (54 is the reversed number)
:
:
Check: 54/45 = 1.2
RELATED QUESTIONS
you are given a two -digit positive integer. if you reverse the digits of your number .... (answered by ankor@dixie-net.com)

you are given a two -digit positive integer. if reverse the digits of your number. The... (answered by stanbon)

when you reverse the digits in a certain two digit number you decrease its value by 63.... (answered by lwsshak3)

The tens digit of a given two-digit positive number is two more than three times the... (answered by ankor@dixie-net.com)

The sum of the digits of a certain two digit number is 12. When you reverse its digits... (answered by indra89811)

the sum of the digits in a certain two-digit number is 12. when you reverse its digits... (answered by ewatrrr)

The sum of the digits of a certain two-digit number is 12. When you reverse its digits... (answered by Alan3354)

The digit sum of a two-digit number is 9. If you divide the number by three and multiply... (answered by ikleyn)

Five times the sum of the digits of a two-digit number is 13 less than the original... (answered by amarjeeth123)