Answer:
Possible numbers for Joshua's house are #13 and #21.
Step-by-step 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, [tex]x> 17[/tex]
[tex]x-17=4\\x=17+4=21[/tex]
Case 2: If Joshua's house is before Maria's house. So, [tex]x<17[/tex]
[tex]17-x=4\\17-4=x\\13=x\ or\\x=13[/tex]
Therefore, the possible numbers for Joshua's house are #13 and #21.
