SOLUTION: Tim has forgotten the 4-digit code for his house alarm. He can remember that the number in the ones place is three times the number in the thousands place; the number in the tens p

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Tim has forgotten the 4-digit code for his house alarm. He can remember that the number in the ones place is three times the number in the thousands place; the number in the tens p      Log On


   

Question 1044208: Tim has forgotten the 4-digit code for his house alarm. He can remember that the number in the ones place is three times the number in the thousands place; the number in the tens place is a quarter of the number in the hundreds place; there is a I somewhere; there is a 2 in the hundreds or thousands place. What is Tim’s 4 digit alarm code?
Please help me to solve this problem. Thank you so much!
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The hundreds place is 4 times the Thousands place. That means the Hundreds place can't be the 1, because 1 isn't 4 times any other single digit. The Hundreds place also can't be 2, because 2 isn't 4 times any other single digit (Hundreds is 4 times the Tens).
That means the Thousands place must contain the 2: 2XXX.
The Ones place is 3 times the Thousands place. So the Ones place contains 3x2=6: 2XX6.
One digit is a 1. Hundreds place can't be 1 (see above). So the Tens place contains 1. Hundreds place is 4x1=4.
The number is 2416