SOLUTION: The tens digit of a two digit number is 3 times greater than the units digit. Eight times the sum of the digits is 1 less than the number. Find the number. I've been provided

Question 262168: The tens digit of a two digit number is 3 times greater than the units digit. Eight times the sum of the digits is 1 less than the number. Find the number.
I've been provided the answer and have ran through numerous equations, but can't seem to get the correct equation that solves for the answer.
I appreciate any help you can provide...
Found 2 solutions by mananth, richwmiller:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The tens digit of a two digit number is 3 times greater than the units digit. Eight times the sum of the digits is 1 less than the number. Find the number.
I've been provided the answer and have ran through numerous equations, but can't seem to get the correct equation that solves for the answer.
I appreciate any help you can provide...

Let the units digit be x .
The tens digit will be 3x
Eight times the sum = 8*(x+3x)
1 less than the number = 30x+x -1
8*(x+3x) = 30x +x -1
32x = 31x-1
x=-1
tens digit =-3 The number is -31

mananth@hotmail.com
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
let t=ten's digit and u equal units digit.
t=3u
8(t+u)=10t+u-1
8t+8u=10t+u-1
7u=2t-1
7u=2*(3u)-1
7u=6u-1
u=-1
t=-3
the number is -31
check
8(-3-1)=-31=1
8*-4=-32
-32=-32
So why are you hiding the answer you were given?
It turns out that the original problem says three greater and not three times greater
so picking up the problem
7u=2t-1
t=3+u
7u=2(3+u)-1
7u=6 +2u-1
5u=5
u=1
t=3+u
t=3+1
t=4
check
8*(4+1)=41-1
40=40
ok

RELATED QUESTIONS
the tens digits of a two-digit number is 3 greater than the units digit. eight times the... (answered by rwm)
The units digit of a two- digit number is one less than 3 times the tens digit. The sum... (answered by mananth)
A two-digit number is four times the sum of its digits. The tens digit is 3 less than the (answered by edjones)
A two-digit number is 4 times the sum of its digits. The tens digit is 3 less than the... (answered by lwsshak3,ewatrrr)
A two-digit number is four times the sum of its digits. The tens digit is 3 less than the (answered by lwsshak3)
A certain two digit number has a value that is eight less than five times the sum of it's (answered by lwsshak3,mathstutor458)
A two-digit counting number has a value that is 1 greater than 8 times the sum of its... (answered by lwsshak3)
The sum of the digits of a two-digit number is 13. Twice the tens digit is two less than... (answered by josgarithmetic)
the sum of the digits of a 2-digit number is 7. The tens digit is one less than 3 times... (answered by Mathtut)
The difference between the digits of a two digit number is 1. The number itself us 1 more (answered by josgarithmetic,MathTherapy,greenestamps)