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.

Algebra.Com
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)   (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)   (Show Source): You can put this solution on YOUR website!
the number.

----------this system fits the description. Simplify the equations and solve the system for t and u.

RELATED QUESTIONS

A two digit number is 4 times the sum of its digits. If 27 is added to that number its... (answered by josmiceli)
a certain number, if two digits equals 4 times thew sum of its digits. the number made by (answered by Fombitz)
A certain number of two digits is 7 times the sum of its digits and increases by 27 when... (answered by math_helper,Alan3354)
A number with two digits is equal to four times the sum of its digits. The number formed... (answered by math_helper)
A two digit number is such that its value equals four times the sum of its digits.If 27... (answered by math_helper,MathTherapy)
If the value of a two digit whole number is three times the sum of its digits, then the... (answered by ankor@dixie-net.com)
the value of a certain two digit number is four less than six times the sum of its... (answered by I<3Math123)
A number with two digits is four times the sum of its digits.The number formed by... (answered by josgarithmetic)
A certain number of two digits is three times the sum of the digit. If 45 is added to it... (answered by ankor@dixie-net.com)