The larger of two numbers is four more than the smaller number. If the sum of the numbers is 61, find the numbers

28.5 and 32.5

Step-by-step explanation:

create an equation to solve:

x + (x+4) = 61

2x + 4 = 61 combine like terms

2x = 57 subtract 4 from both sides

x = 28.5 divide 2 from both sides

28.5 is the smaller number

the larger number is 4 more so:

28.5 + 4 = 32.5

32.5 is the larger number

check your work:

28.5 + 32.5 = 61