SOLUTION: In a three digit number unit's digit, ten's digit and hundred's are in the ratio of 1:2:3. If the difference in the original number and the number obtained by reversing the digit i

Algebra.Com
Question 977030: In a three digit number unit's digit, ten's digit and hundred's are in the ratio of 1:2:3. If the difference in the original number and the number obtained by reversing the digit is 594 find the number?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
In a three digit number unit's digit, ten's digit and hundred's are in the ratio of 1:2:3. If the difference in the original number and the number obtained by reversing the digit is 594 find the number?
***
let u=units digit
let t=tens digit
let h=hundredth digit
..
(100h+10t+u)-(100u+10t+h)=594
100h+10t+u-100u-10t-h)=594
99h-99u=594
h=3u
99*3u-99u=594
297u-99u=594
198u=594
u=3
h=3u=9
t=2u=6
..
check:
100h+10t+u=900+60+3=963
100u+10t+h=300+60+9=369
difference: 963-369=594

RELATED QUESTIONS

The digits of a three-digit number add up to 18. If the ten’s digit is twice the... (answered by mananth)
In a 3 digit number unit digit is one more than the hundred digit are in a ratio 1:2:3... (answered by ankor@dixie-net.com)
In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by... (answered by stanbon)
Ten-digit number. Find a 10-digit number whose first digit is the number of 1’s in the... (answered by richard1234)
The digit in the ten’s place is 1 more than twice the digit in the unit’s place. If 8 is... (answered by MathTherapy)
The product of a two two-digit number and its unit digit is 96. Find the two digit number (answered by josgarithmetic)
Find a three digit number whose tens digit is 4 times the hundred’s digit and the unit’s... (answered by vleith)
Find a three digit number whose tens digit is 4 times the hundred’s digit and the unit’s... (answered by Fombitz)
For a two digit numbers its digit in the ten’s place is twice the digit in the unit’s... (answered by ankor@dixie-net.com)