SOLUTION: Three times the tens digit of a certain two-digit number is two more than four times the units digit. The difference between the number given and the number obtained by reversing t
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: Three times the tens digit of a certain two-digit number is two more than four times the units digit. The difference between the number given and the number obtained by reversing t
Log On
Question 354523: Three times the tens digit of a certain two-digit number is two more than four times the units digit. The difference between the number given and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number? Answer by mananth(16946) (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 units digit. The difference between the number given and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number?
let the number be xy
10x+y
..
3x=4y+2
3x-4y=2.........................1
10x+y-10y-x=2(x+y)-2
9x-9y=2x+2y-2
7x-11y=-2.......................2
multiply equation 1 by -7 and equation 2 by 3
-21x+28y=-14
21x-33y=-6
Add the two equations
-5y=-20
y =4
plug the value of y in equation 1
3x=16+2
3x=18
x= 6
number is 68.
m.ananth@hotmail.ca
