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| Math Central | Quandaries & Queries |
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Question from Deborah, a student: Linda thinks of a two-digit number. The sum of the digits is 8. If she reverses the digits, the new number is 36 greater than her original number. What was Linda's original number? Thank you! |
Hi Deborah,
Suppose the units digit is $u$ and the tens digit is $t$ then the number can be written $10\;t + u.$
"The sum of the digits is 8." gives you one equation.
If you reverse the digits what is the number? "If she reverses the digits, the new number is 36 greater than her original number." gives you a second equation.
I hope this helps,
Penny
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