SOLUTION: Please help me. .I'm confused. Our assignment is all about digit problem. It goes like this:
" The tens digit is four times the units digit and the number is 10 more than nine t
Algebra.Com
Question 87943: Please help me. .I'm confused. Our assignment is all about digit problem. It goes like this:
" The tens digit is four times the units digit and the number is 10 more than nine times the tens digit. Find the number."
I tried to solve it, but I'm confused I got different answers as I solve the problem again.. Please response A.S.A.P if read this Please....because its our assignment for today and to be pass tomorrow. .pLease help me. . .
1 Solution . . Thank you. Thank you. Thank you....
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The tens digit is four times the units digit and the number is 10 more than nine times the tens digit. Find the number."
---------------
Comment: Any two digit number can be written as 10t+u where t is the 10's
digit and u is the units digit.
--------------------------
Your Problem:
Let your number be 10t+u
EQUATIONS:
t = 4u
10t+u = 9t+10
--------
Substitute to get:
10(4u)+u = 9(4u)+10
40u+u = 36u+10
5u = 10
u=2
------
Substitute into t=4u to solve for t:
t=4*2=8
--------
The number is 82
=================
Cheers,
Stan H.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
" The tens digit is four times the units digit and the number is 10 more than nine times the tens digit. Find the number."
:
Follow these steps, write an equation for what it says (the word "is" usually means "=":
Let x = the 10's digit, Let y = the units digit
The number will = (10x + y)
:
" The tens digit is four times the units digit"
x = 4y
:
" the number is 10 more than nine times the tens digit Find the number."
(10x + y) = 9x + 10
Do the algebra, subtract 9x and y from both sides:
10x - 9x = 10 - y
x = 10 - y
:
Remember x = 4y, substitute that for x in the above equation:
4y = 10 - y
4y + y = 10; added y to both sides
5y = 10
y = 10/5
y = 2 is the units digit
:
10s digit: x = 4y
x = 4(2)
x = 8 is the tens digit
:
That makes the number 82
:
Check solution by seeing if it satisfies the statement:
"the number is 10 more than nine times the tens digit"
82 = 9(8) + 10
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