Problem solving

Question

what is the two digit number which satisfies the following Conditions ? 

 

a) the tens digit is larger than the units digit

b) the sum of the digits is 11 

c) if the digits are reversed and the resulting two-digit number is subtracted from the original number, the differen is 27. 

 

Show all your work. Do not use algebra.

Answer 1

Let "TU" represent the number, where T is the tens digits & U is the units digit.

 

a)  T > U

b) T + U = 11

c) "TU" - "UT"  = 27...i.e. 10T+U - (10U+T) = 27.

"Show all your work. Do not use algebra."   I have set it up and I would use Algebra, because that's what Algebra is for.

 

Without Algebra, you have to do trial & error.  That's for you to do--personally I think Algebra is COOL.