SOLUTION: The tens digits of a two digit number is 3 less than the units digit. If the number is divided by the sum of its digits, the quotient is 4 and the remainder is 6. Find the number.

Algebra ->  Equations -> SOLUTION: The tens digits of a two digit number is 3 less than the units digit. If the number is divided by the sum of its digits, the quotient is 4 and the remainder is 6. Find the number.       Log On


   

Question 909154: The tens digits of a two digit number is 3 less than the units digit. If the number is divided by the sum of its digits, the quotient is 4 and the remainder is 6. Find the number.
Answer by lwsshak3(11628) About Me  (Show Source):
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The tens digits of a two digit number is 3 less than the units digit. If the number is divided by the sum of its digits, the quotient is 4 and the remainder is 6. Find the number.
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let u=units digit
let t=tens digit
t=u-3
(10t+u)/(u+t)=4+6/(u+t)
lcd:(u+t)
(10t+u)=4(u+t)+6
(10u-30+u)=4(2u-3)+6
(11u-30)=8u-12+6
3u=24
u=8
t=u-3
t=5
number:58