# SOLUTION: The sum of the digits of a two digit number is 7. If the digits are reversed, the number is decreased by 27. What is the original number?

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 Question 632813: The sum of the digits of a two digit number is 7. If the digits are reversed, the number is decreased by 27. What is the original number?Answer by lwsshak3(6519)   (Show Source): You can put this solution on YOUR website!The sum of the digits of a two digit number is 7. If the digits are reversed, the number is decreased by 27. What is the original number? ** let u=units digit let t=tens digit original number: 10t+u reversed number:10u+t t+u=7 t=7-u .. 10t+u=10u+t-27 10(7-u)+u=10u+7-u-27 70-10u+u=10u+7-u-27 18u=90 u=5 t=7-u=2 original number=10t+u=25