Heres the problem:
The tens digit of a two-digit number is 1 more than 3 times the ones digit. Subtracting 45 from the number reverses it. Find the original number.
Printable View
Heres the problem:
The tens digit of a two-digit number is 1 more than 3 times the ones digit. Subtracting 45 from the number reverses it. Find the original number.
well,Quote:
Originally Posted by sp0rtskid55
If the 1's digit is 0, then 3*0+1 = 1, so the number is 10
If the 1's digit is 1, then 3*1+1 = 4, so the number is 41
If the 1's digit is 2, then 3*2+1 = 7, so the number is 72
If the 1's digit is 3, then 3*3+1 = 10, this is not a two digit number, so you are left with the first three cases.
Just check which one meets the criteria of "Subtracting 45 from the number reverses it"
Hello, sp0rtskid55!
Let= tens digit
Let= ones digit
The number is: .
Its reversal is: .
Quote:
The tens digit of a two-digit number is 1 more than 3 times the ones digit.
Subtracting 45 from the number reverses it.
Find the original number.
The second equation is: .
Equate to the first equation: .
. . Then: .
Therefore, the original number is 72.