SOLUTION: A two-digit number is 4 times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?

Question 602440: A two-digit number is 4 times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?
Found 2 solutions by lwsshak3, ewatrrr:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A two-digit number is 4 times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?
**
let u=units digit
t=tens digit
..
t=u-3
10t+u=4(t+u)
10t+u=4t+4u
6t=3u
6(u-3)=3u
6u-18=3u
3u=18
u=6
t=6-3=3
number: 36

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
A two-digit number is 4 times the sum of its digits. The tens digit is 3 less than the units digit.
Let x and (x-3) represent the units digit and tens digit respectively
Question states***
10(x-3) + x = 4[(x-3) + x]
Solving for x
11x - 30 = 8x - 12
3x = 18
x = 6, the units digit, the tens digit (x-3) is 3
the number is 36
CHECKING our Answer***
36 = 4*9 = 36
RELATED QUESTIONS
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 four times the sum of its digits. The tens digit is 3 less than the (answered by lwsshak3)
A two digit number the sum of its two digits is three times of its units digit and its... (answered by Theo)
The units digit of a two- digit number is one less than 3 times the tens digit. The sum... (answered by mananth)
The units' digit of a two-digit numeral is 5 more than the tens' digit. The number is 3... (answered by Nate)
A two-digit counting number has a value that is 7 more than 6 times the sum of its... (answered by josgarithmetic)
A two digit counting number has a value that is 7 more than 6 times the sum of its... (answered by ankor@dixie-net.com)
A two digit number is two less than six timers the sum of its digits. The tens digit is... (answered by Paul)
The sum of the digits of a two-digit number is 13. Twice the tens digit is two less than... (answered by josgarithmetic)