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.Com
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)   (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

RELATED QUESTIONS

Freddie has forgotten the 6-digit code that he uses to lock his briefcase. He knows that... (answered by ikleyn)
PUZZLE CORNER Enter PIN code ENTER PIN CODE O Albert changed his mobile phone (answered by greenestamps)
Timothy changed his mobile phone pin code from 0000 but he has now forgotten it.He... (answered by CubeyThePenguin,ikleyn,greenestamps)
This three digit number has a 1 in the tens place. The number in the hundreds place is... (answered by Edwin McCravy)
Jess has a 4-digit code for her lock, but she has forgotten two of the digits. (answered by ankor@dixie-net.com,kelvin nyawali)
The Fundamental Counting Principle states that the number of ways in which a series of... (answered by Ashlynbyrd,solver91311)
Hi tutors, can you help me answer this question? I've tried to solved it but it was... (answered by josgarithmetic)
In a two-digit number, the digit in the tens place is three times the digit in the ones... (answered by stanbon)
Write the 11 digit number that has 1 in the ones place, 6 in the tens place, A digit... (answered by ankor@dixie-net.com)