The difference of two numbers is eighteen. if five more than twice the smaller number is three less than the larger number, fond the two numbers

X = 31

Y = 13

Step-by-step explanation:

X = larger number

Y = smaller number

x = 2y + 5y = x - 3

x - y = 18

2y + 5 - y = 18

Combine like variables:

y + 5 = 18

Solve for y:

y + 5 - 5 = 18 - 5y = 13

Solve for x:

X = 2y + 5X = 2(13) + 5X = 31

Check:

31 - 13 = 18

This law is sometimes called the grouping property. as you can see, regardless of how the numbers are grouped, the answer is still 13. the associative law of multiplication is similar to the same law for addition. it says that no matter how you group numbers you are multiplying together, you will get the same answer.