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

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.