The larger of to numbers is 12 more than the smaller. their sum is 84. what are the two numbers?

36 and 48

a = b+12
a+b = 84

(b+12) + b =84
2b +12 = 84
2b = 72
b= 36

a = b + 12
a = 36 + 12
a = 48

To solve this, set up a function where w is the number of weeks and h(w) is the number of houses made per week. As you produce 3 houses a week, your function would be h(w)=3w. Now, as you want to produce 54 houses, set your h(w) equal to 54, making your function 54=3w. Now, solve for w, divide both sides by 3, w=54/3=18. This means your answer is 18 weeks.