SOLUTION: There is a certain number less than 100. The sum of the digits is 7 and the product of the digits is 6. What is the number?

SOLUTION: There is a certain number less than 100. The sum of the digits is 7 and the product of the digits is 6. What is the number?

Algebra.Com

Question 781192: There is a certain number less than 100. The sum of the digits is 7 and the product of the digits is 6. What is the number?
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
we describe the number as 100=xy so that x is in the 10's place and y in the ones place, then:
1) x+y=7
2) xy=6
x=6/y
6/y+y=7
6+y^2=7y
y^2-7y+6=0
(y-6)(y-1)=0
y=6 or y=1
there are two numbers possible: 16 and 61
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