SOLUTION: Please Help Me To Answer this The sum of a digit of a two digit number is 10 if the digits are reversed the number increased by 36. What is the original Number? PLEASE Help Me T

Question 929114: Please Help Me To Answer this
The sum of a digit of a two digit number is 10 if the digits are reversed the number increased by 36. What is the original Number?
PLEASE Help Me To Answer
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Let = one's digit in original number
Let = ten's digit in original number
value of original number =
In new number (with reversed digits):
= one's digit
= ten's digit
value of new number =
We can now form these equations:
"Sum of digits of two-digit no. is " (original number)
...eq.1
"Reverse the digits, the no. is increased by ."

....eq.2
Now compare the two equations:

We can substitute for in the first equation to solve:

Now substitute this value for into one of the equations to find :

Our original number is .

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