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?
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> 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?
Log On
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
