SOLUTION: when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number?

Question 246274: when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number?
:
Let 10x + y = the original two digit number
then
10y + x = that number with digits reversed
:
1.2 * a number = a number increased by 20%
:
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 = y
x = .8y
The only single digit integer that would satisfy this equation:
y = 5, then x = 4
:
45 = the number
54 = 1.2(45); the number reversed
RELATED QUESTIONS
when its digits are reversed, a particular positive two-digit integer is increased by... (answered by Edwin McCravy)

The sum of the digits of a two-digit number is 7. When the digits are reversed, the... (answered by tmwilliamlin168)

The sum of the digits of a two-digit number is 11. When the digits are reversed, the new... (answered by ankor@dixie-net.com)

Find the largest two digit integer that is increased by 75% when it's digits are... (answered by Theo)

the sum of the digits of a two-digit number is 10. If the digits are reversed, the number (answered by Mathtut,josmiceli)

The sum of the digits of a two-digit number is 15. If the digits are reversed, the number (answered by KMST,mananth)

The sum of the digits of a two digit number is 10. If the digits are reversed, the number (answered by htmentor)

1. the sum of the digits f a two-digit number is 11. when the digits are reversed, the... (answered by stanbon,jsmallt9)

in a two-digit positive number, the square of the digit in the tens digit is 2 less than... (answered by josgarithmetic)