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

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) (Show Source): You can put this solution on YOUR website!
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.
***
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
RELATED QUESTIONS
In a two-digit number, the digit in the tens place is three times the digit in the one... (answered by Edwin McCravy)

In a two-digit number, the digit in the tens place is three times the digit in the ones... (answered by stanbon)

The unit digit of a two-digit number is one less than three times the tens digit. The sum (answered by stanbon)

Three times the tens digit of a certain two-digit number is two more than four times the... (answered by mananth)

Three times the tens digit of a certain two digit number is two more than four times the... (answered by mananth)

pls. help me solve this problem... thank you... 1. Three times the tens digit of a... (answered by ewatrrr)

pls. help me solve this problem... thank you... problem 1. Three times the tens digit (answered by mananth)

The sum of the digits of a two digit number is 11. The tens digit is one more than four... (answered by feliz1965)

The tens digit of a two-digit number is 1 more than four times the units digit. If the... (answered by htmentor)