SOLUTION: The tens digit of a two digit number is three less than the units digit. If two were added to the number, the result would be seven times the units' digit. What is the number?
Algebra.Com
Question 279285: The tens digit of a two digit number is three less than the units digit. If two were added to the number, the result would be seven times the units' digit. What is the number?
Found 2 solutions by JBarnum, Stitch:
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
wow that is a mouthful take it line by line first
tens digit=T
units digit=U
substitute and solve
but -1/5 cant = u so after doing guess and check there are still no numbers that they could be to fit the above question so this question is IMPOSSIBLE.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
The Set-Up
----------------
Let A = 10's Digit
Let B = 1's Digit
Equation 1:
Equation 2:
Equation 3:
Solution:
-----------------
Solve equation 3 for N
Equation 3:
Now substitute this and equation 2 into equation 1
Equation 1:
Simplify
Subtract 7B from both sides
Add 30 to both sides
Divide both sides by 4
Now plug 7 into equation 2 for B
Equation 2:
Now substitute the values into equation 1
RELATED QUESTIONS
The units’ digit of a two-digit number is 7 more than the tens’ digit. If 26 is added to... (answered by math_helper)
The tens digit of a two-digit number is 2 less than twice the units digit. The number is... (answered by Nate,stanbon)
the tens digit of certain two digit number exceeds the units digit by 4 and is 1 less... (answered by mananth,MathTherapy)
A two-digit number is eighteen more than the sum of its digits. The tens digit is three... (answered by mananth)
The sum of the digits of a two-digit number is 11. If the tens digit is one less than... (answered by rfer)
the tens digit of a two-digit number is one-half of the units digit. If the original... (answered by josmiceli)
The tens digit of a two-digit number is 1 more than three times the units digit. If the... (answered by math_helper)
the units digit of a two digit number is double the tens digit. if the digit are reversed (answered by josgarithmetic,Alan3354,ikleyn,Edwin McCravy)
The sum of the digits of a 3-digit number is 20. If the tens were the hundreds digit and... (answered by josgarithmetic)