One positive number is 5 times another number . The difference between the two numbers is 80, Find the numbers.
The two numbers in increasing order are ________ and ______
--------------------------------------------------------------------------------------------------- Define the numbers: --------------------------------------------------------------------------------------------------- Let x be one number. One number = x Other number = 5x
--------------------------------------------------------------------------------------------------- Construct the equation: --------------------------------------------------------------------------------------------------- 5x - x = 80
--------------------------------------------------------------------------------------------------- Combine like terms: --------------------------------------------------------------------------------------------------- 4x = 80
--------------------------------------------------------------------------------------------------- Divide by 4 on both sides: --------------------------------------------------------------------------------------------------- x = 20
--------------------------------------------------------------------------------------------------- Find the 2 numbers: --------------------------------------------------------------------------------------------------- One number = x = 20 Other number = 5x = 5(20) = 100
--------------------------------------------------------------------------------------------------- Answer: The two numbers in increasing order are 20 and 100. ---------------------------------------------------------------------------------------------------
