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.Com
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
RELATED QUESTIONS
The sum of the digits in a three-digit counting number is 17. The tens digit is 1 more... (answered by addingup)
The tens digit of a three digit number is three times the units digit and the units digit (answered by ankor@dixie-net.com)
the sum of the digits of a 3-digit number is 14. the hundred's digit being four times the (answered by ankor@dixie-net.com)
The sum of the digits of a three-digit number is 12. The tens digit is two times the... (answered by mananth)
The tens-digit of a three digit number is 3 less than 5 times the units digit. Three... (answered by josmiceli,richwmiller,JimboP1977)
the sum of the digits of a three digit number is 12. The tens digits is three less than... (answered by josgarithmetic)
The sum of the digits of a three digit number is 11. The tens digit is 3 less than twice... (answered by ewatrrr)
The sum of the digits of a certain three digit number is 12. If the hundreds digit is... (answered by stanbon)
A two digit number the sum of its two digits is three times of its units digit and its... (answered by Theo)