SOLUTION: When a two digit number is divided by the sum of its digits the quotient is8.If the ten's digit is diminished by three times the unit's digit,the remainder is 1.What is the number?
Algebra.Com
Question 629235: When a two digit number is divided by the sum of its digits the quotient is8.If the ten's digit is diminished by three times the unit's digit,the remainder is 1.What is the number?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
When a two digit number is divided by the sum of its digits the quotient is8.If the ten's digit is diminished by three times the unit's digit,the remainder is 1.What is the number?
**
let u=units digit
let t=tens digit
..
t-3u=1
t=3u+1
..
(10t+u)/(t+u)=8
10t+u=8t+8u
10(3u+1)+u=8(3u+1)+8u
30u+10+u=24u+8+8u
31u-32u=-10+8
u=2
t=3u+t=7
number: 72
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