SOLUTION: the sum of the digits of a three digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of hundreds tens digits will
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: the sum of the digits of a three digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of hundreds tens digits will
Log On
Question 745072: the sum of the digits of a three digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of hundreds tens digits will be reversed. Find the number. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! the sum of the digits of a three digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of hundreds tens digits will be reversed. Find the number.
let the number be xyz
x+y+z=14
x=4z
Therefore 4z+y+z=14
y+5z=14..........................(1)
594 subtracted from the number
100x+10y+z-594 = 100z+10y+x
99x-99z=594
/99
x-z=6
But x=4z
4z-z=6
3z=6
z=2
if z=2 then x= 4z=>4*2=8
x+y+z=14
8+y+2=14
10+y=14
y=14-10
y=4
The number is xyz
842
