The larger of two numbers is four more than the smaller number. if the sum of the numbers is 74, find the numbers.

Since it is asking for the numbers of the SUM of 74, we know its the addition of 2 different numbers.

All we have to do is divide 74 by 2, which is 37. Then, since we know the larger number is 4 more than the small number, you add 2 to 37 and subtract 2 from the other 37.

72/2 =37 + 37

37 + 2 = 39

37 - 2 = 35

39 + 35 = 74

39 - 35 = a difference of 4

So your two numbers are 39 and 35.