### Brain Teasers

# Neighborly Number

AJ, Celeste, Juan, Kara, Lily, and Randy all live on Redwood Avenue. Each of their house numbers has three digits, but the only digits in their house numbers are 2, 3, 5, and 6. The same digit may appear twice in one of the addresses.

AJ's house number is Juan's house number doubled.

Juan lives next to Lily and right across from Randy.

Randy's number is the lowest on the street.

Celeste's number is a higher number than AJ's but has the same three digits as his. They both have the same digit in the hundreds place.

Kara's house number is the reverse of Juan's.

What is each person's street address?

AJ's house number is Juan's house number doubled.

Juan lives next to Lily and right across from Randy.

Randy's number is the lowest on the street.

Celeste's number is a higher number than AJ's but has the same three digits as his. They both have the same digit in the hundreds place.

Kara's house number is the reverse of Juan's.

What is each person's street address?

### Hint

1. Make a chart listing the possible combinations of digits, and then use the clues to eliminate the impossibilities.2. Remember, street addresses have all the odd numbers on one side, and the even numbers on the other.

### Answer

AJ's street address is 526 Redwood Avenue.Celeste's street address is 562 Redwood Avenue.

Juan's street address is 263 Redwood Avenue.

Kara's street address is 362 Redwood Avenue.

Lily's street address is 265 Redwood Avenue.

Randy's street address is 262 Redwood Avenue.

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## Comments

I don't understand how you got Randy and Lily's addresses. I got something different :-S still a good teaser I suppose. Maybe I didn't read carefully enough.

Answers would be improved if you gave hints on how to get them.

The 'breaker' for me was "AJ = 2 * Juan"

Using the list of numbers, with Juan=xyz,

x=2 (doubles to 5 with a carry),

y=6 (doubling 5 would give a o or 1 if there was a carry),

z=3 (doubles to 6. Can't have 6 doubling to 12, since this would take doubled 6 out of list of numbers.)

The 'breaker' for me was "AJ = 2 * Juan"

Using the list of numbers, with Juan=xyz,

x=2 (doubles to 5 with a carry),

y=6 (doubling 5 would give a o or 1 if there was a carry),

z=3 (doubles to 6. Can't have 6 doubling to 12, since this would take doubled 6 out of list of numbers.)

There are several combinations of addresses for Randy and Lily.

Lily can reasonably be 265, 253, 255. These are all odd addresses reasonably close to 263. Adjacent houses don't always have consecutive addresses.

Similarly, depending on Lily's house number, Randy's can be 232, 236, 252, 256, 262.

Lily can reasonably be 265, 253, 255. These are all odd addresses reasonably close to 263. Adjacent houses don't always have consecutive addresses.

Similarly, depending on Lily's house number, Randy's can be 232, 236, 252, 256, 262.

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