SOLUTION: Three times the tens digit of a certain two digit number is two more than four times the unit digit. The difference between the given number and the number obtained by reversing th

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Question 757801: Three times the tens digit of a certain two digit number is two more than four times the unit digit. The difference between the given number and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number
Answer by lwsshak3(11628) About Me  (Show Source):
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Three times the tens digit of a certain two digit number is two more than four times the unit digit. The difference between the given number and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number.
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let u=units digit of given number
let t=tens digit of given number
3t=4u+2
t=(4u+2)/3
given number: 10t+u
number with digits reversed: 10u+t
(10t+u)-(10u+t)=2(t+u)-2
10t+u-10u-t=2t+2u-2
9t-9u=2t+2u-2
7t-11u=-2
7(4u+2)/3-11u=-2
28u+14-33u=-6
5u=20
u=4
t=(4u+2)/3=6
given number: 64
number with digits reversed:46