SOLUTION: please help me thanks: I am two-digit number. the product of my digits is 6. their difference is 1. My tens digit is less than my ones digit. Who am I?

Question 280503: please help me thanks:
I am two-digit number. the product of my digits is 6. their difference is 1. My tens digit is less than my ones digit. Who am I?
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
Let the number in the units place be x
then the digit in the tens place will be 6/x

x-(6/x)=1
x^2-6=x
x^2-x-6=0
x^2-3x+2x-6=0
x(x-3)+2(x-3)=0
(x-3)(x+2)=0
x=3 , -2
the other digit =2
So the number is 23

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