SOLUTION: A certain number is formed of two digits, its value equals four times the sum of its digits. If 27 is added to it, the sum is the number obtained by interchanging the digits.

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Question 981508: A certain number is formed of two digits, its value equals four times the sum of its digits. If 27 is added to it, the sum is the number obtained by interchanging the digits. What is the number?
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Let represent the tens digit and represent the ones digit. The value of the number is and the sum of the digits is . Further, the value of the number with the digits reversed is .

So we have:



and



Solve the 2X2 system of equations for and

John

My calculator said it, I believe it, that settles it

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
10t%2Bu the number.

system%2810t%2Bu=4%28t%2Bu%29%2C10t%2Bu%2B27=10u%2Bt%29----------this system fits the description. Simplify the equations and solve the system for t and u.