SOLUTION: a two-digit number is such that the tens digit is at least 5 more than twice the units digit. find all positive integers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: a two-digit number is such that the tens digit is at least 5 more than twice the units digit. find all positive integers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 666329: a two-digit number is such that the tens digit is at least 5 more than twice the units digit. find all positive integers.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the 10s digit is +9+, then
+9+-+5+=+4+
+4%2F2+=+2+
The units digit can be +2+, +1+ or 0
----------
If the 10's digit is +8+, then
+8+-+5+=+3+
+3%2F2+
The units digit can be +1+ or 0
----------
If the 10's digit is +7+, then
+7+-+5+=+2+
+2%2F2+=+1+
The units digit can be +1+ or 0
----------
The 10's digit is +6+ or lower
+6+-+5+=+1+%5D%5D%5D%0D%0A%7B%7B%7B+1%2F2
The units digit must be +0+
-----------
the numbers are
10,20,30,40,50,60,
70,71,80,81,90,91, or 92
-----------
Hope I got it



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a two-digit number is such that the tens digit is at least 5 more than twice the units digit. find all positive integers.

Let the tens digit be T, and the units digit, U
Then: T+%3E=+2U+%2B+5

Let U = 0
T+%3E=+2%280%29+%2B+5
T+%3E=+5, or T = 5, 6, 7, 8, or 9
Numbers would then be highlight_green%2850_60_70_80_or_90%29

Let U = 1
T+%3E=+2%281%29+%2B+5
T+%3E=+7, or T = 7, 8, or 9
Numbers would then be: highlight_green%2871_81_or_91%29

Let U = 2
T+%3E=+2%282%29+%2B+5
T+%3E=+9, or T = 9
Number would then be: highlight_green%2892%29

The number could be any of the above 9

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com