SOLUTION: I have tried multiple times to solve this problem, but each time I get the wrong answer ( I've checked in the back of the book).
Question: " The difference of two numbers is 67.
Algebra.Com
Question 210519This question is from textbook Intermediate Algebra
: I have tried multiple times to solve this problem, but each time I get the wrong answer ( I've checked in the back of the book).
Question: " The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers."
I tried solving it like this:
x-y=67
larger number=6y-3
(6y-3)-y=67
The answers in the back of the book says 14 and 81. I am so lost in how they found that answer.
This question is from textbook Intermediate Algebra
Found 3 solutions by stanbon, Alan3354, checkley77:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers."
I tried solving it like this:
x-y=67
larger number=6y-3
(6y-3)-y=67
The answers in the back of the book says 14 and 81.
----------------------------------------------------------
Since x-y = 67, the "x" must be the larger number.
Equation:
x = 6y-3
-----------------------
Substitute that into x-y=67 to get:
6y-3 - y = 67
5y = 70
y = 14
-------
Substitute that and solve for "x":
x = 6*14 -3
x = 84-3
x = 81
=======================================
Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Question: " The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers."
I tried solving it like this:
x-y=67
larger number=6y-3
(6y-3)-y=67
---------------
14 and 81 does work.
---------------
x = larger #
y = smaller #
------------
x-y = 67
x = 6y-3
Sub for x into the 1st eqn
(6y-3) - y = 67
5y = 70
y = 14
x = 81
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Y-X=67
Y=6X-3
6X-3-X=67
5X=67+3
5X=70
X=14 ANS
Y-14=67
Y=67+14
Y=81 ANS.
PROOF:
81=6*14-3
81=84-3
81=81
RELATED QUESTIONS
I have tried to work this equation, but get the wrong answer each time. HELP!
4-2x=9... (answered by Alan3354)
If three times the supplement of an angle is subtracted from seven times the complement... (answered by addingup)
solve each system by graphing check your answer
(y=1/2x+2
(y=-x-1
i have tried... (answered by Fombitz)
The cost of building a house increases 26 percent every year. If it costs $93,000 to... (answered by mukhopadhyay)
Hello!
I have tried working this problem but when I checked my answer it did not work... (answered by stanbon)
[5+(-11)]-(3-7)+|-5+2-3|= i dont get this question i have tried to solve it multiple... (answered by Alan3354)
Hi, I've tried solving this equation in multiple ways but can't seem to crack it. The... (answered by MathLover1,josgarithmetic,greenestamps)
I'm confused as on how to solve this problem. I tried doing a^2 + b^2 = c^2, but when I... (answered by Alan3354,josgarithmetic)
Use the definition of logarithm in to simplify each expression.
(a)log2b(2 b)
I have... (answered by ccs2011)