SOLUTION: When the digits of a two-digits number are reversed, the new number is 36 more than the original number. The units digits is twice the tens digit. What is the original number?

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Question 190869This question is from textbook Alegbra Structure and Method
: When the digits of a two-digits number are reversed, the new number is 36 more than the original number. The units digits is twice the tens digit. What is the original number? This question is from textbook Alegbra Structure and Method

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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When the digits of a two-digits number are reversed, the new number is 36 more
than the original number. The units digits is twice the tens digit.
What is the original number?
:
Let x = original 10's digit
Let y = original units
10x + y = original number
:
"When the digits of a two-digits number are reversed, the new number is 36 more than the original number."
10y + x = 10x + y + 36
10y - y = 10x - x = 36
9y = 9x + 36
Simplify divide by 9
y = x + 4
:
" The units digits is twice the tens digit."
y = 2x
:
Substitute;
2x = x + 4
x = 4, then y = 8
;
What is the original number? It's 48
;
;
Check solution 84 = 48 + 36