SOLUTION: 1. If twenty-seven is added to a two-digit number, the original number will be reversed. The number is three less than four times the sum of its digits. What is the number?

Question 87410: 1. If twenty-seven is added to a two-digit number, the original number will be reversed. The number is three less than four times the sum of its digits. What is the number?

2. The tens digit of a two-digit number is two more than the ones digit. The number is thirty more than four times the sum of the digits. What is the number?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Express the number as , where a and b are the digits

also,

multiply both sides of the 1st eqaution by -1, then add the equations

substitute this value for a in either of the above

So, the number is answer
check the answer by plugging a and b into original equations
--------------------------------------------
The number is where a and b are the digits

subtract b from both sides of the 1st equation

Now multiply both sides by -1

Add the equations

The number is answer
check by plugging a and b into original equations

RELATED QUESTIONS
6. If twenty-seven is added to a two digit number, the original number will be reversed.... (answered by lwsshak3)

6) If twenty seven is added to a two digit #, the original # will be reversed. The number (answered by solver91311)

A two-digit number is three less than seven times the sum of its digits. If the digits... (answered by 24HoursTutor.com)

A two Digit number is three less than seven times the sum of its digits if the digits are (answered by mananth)

A two digit number is three less than seven times the sum of its digits. if the digits... (answered by stanbon)

A two digit number is three less than seven times the sum of its digits, if the digits... (answered by geetha_rama)

Please heeelp. a two-digit number is three less than seven times the sum of its... (answered by josgarithmetic)

The sum of two digits of a two digit number is seven. If the digits are reversed, the new (answered by rapaljer)

A certain two-digit number is 2 less than three times the sum of its digit. If 54 is... (answered by josmiceli)