The difference between two numbers is 96. The larger number is five times the smaller number. What are the numbers?
Responses
16 and 80
16 and 80
22 and 110
22 and 110
24 and 120
24 and 120
26 and 122
Let's let x be the smaller number and y be the larger number.
From the problem, we know that y - x = 96 and y = 5x.
Substituting y = 5x into the first equation, we get 5x - x = 96.
Combining like terms, we get 4x = 96.
Dividing both sides by 4, we get x = 24.
Substituting x = 24 into y = 5x, we get y = 5(24) = 120.
Therefore, the smaller number is 24 and the larger number is 120.