SOLUTION: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
Algebra.Com
Question 918406: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The number: 10T+U.
Description transcribed: and .
Be sure you understand that and can work with those equations.
--
The "increase by 9" equation:
Simplified system is now identifiable.
This system is perfectly ready for solving using the elimination method.
Subtract corresponding members of the equations.
;
Add corresponding members of the equations.
;
The original number is .
RELATED QUESTIONS
The Sum of the digits of a certain two-digit number is 7. Reversing its digits increases... (answered by ilana)
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases... (answered by Edwin McCravy)
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases... (answered by edjones)
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases (answered by ewatrrr,lar)
The sum of the digit of a certain two digit number is 7. Reversing its digits increases... (answered by solver91311)
The sum of the digit of a certain two-digit number is 7 Reversing its digits increases... (answered by josgarithmetic)
The sum of the digits of a certain two-digits number is 7. Reversing its digits increases (answered by MathLover1)
the sum of the digits of a certain two-digit number is 7 reversing the digits increases... (answered by lwsshak3)
The sum of the digits of a certain two digit number is 7. Reversing it's digits increases (answered by TimothyLamb)