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 859236: 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 edjones(8007) (Show Source): You can put this solution on YOUR website!
Let u=the units digit and t=the tens digit. The digit = 10t+u
t+u=7
.
10t+u=10u+t-9
9t-9u=-9
9(t-u)=-9
t-u=-1
.
t+u=7
t-u=-1
-------Add
2t=6
.
t=3
u=4
The number is 34.
.
Ed
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