SOLUTION: there is a two digit number in which the sum of its digits is 6 while the product of the digits is 1/3 the original number. Find this number

Question 886869: there is a two digit number in which the sum of its digits is 6 while the product of the digits is 1/3 the original number. Find this number
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
there is a two digit number in which the sum of its digits is 6 while the product of the digits is 1/3 the original number. Find this number
***
let u=units digit
let t=tens digit
..
u+t=6
u=6-t
ut=1/3(10t+u)
3 ut=10t+u
3t(6-t)=10t+6-t
18t-3t^2=10t+6-t
3t^2-9t+6=0
t^2-3t+2=0
(t-2)(t-1)=0
t=2 or 1
u=4 or 5
original number=24 or 15
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