Question

identical vacation houses, equally spaced along a street, are number consecutively beginning with 10. maria lives in house #17. joshua lives 4 houses away from maria. what are possible numbers for joshua's house?​

Answer 1

Possible numbers for Joshua's house are #13 and #21.

Explanation:

Given:

Vacation houses are equally spaced along a street.

The first house is marked with #10 and so on.

Maria lives in house marked as #17.

Joshua lives 4 houses away from Maria.

So, the difference between Joshua's house number and Maria's house number is 4.

Let 'x' be the house number of Joshua's house.

Case 1: If Joshua's house is after Maria's house. So,
`x> 17`

`x-17=4\\x=17+4=21`

Case 2: If Joshua's house is before Maria's house. So,
`x<17`

`17-x=4\\17-4=x\\13=x\ or\\x=13`

Therefore, the possible numbers for Joshua's house are #13 and #21.