SOLUTION: The sum of two numbers is 133. The second is 7 more than 5 times the first. What are the two numbers?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The sum of two numbers is 133. The second is 7 more than 5 times the first. What are the two numbers?      Log On


   

Question 105771: The sum of two numbers is 133. The second is 7 more than 5 times the first. What are the two numbers?
Answer by kmcruz09(38) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = first number
5x + 7 = second number
The sum of the two numbers is 133.
So x+%2B+5x+%2B+7+=+133
Solving, we have:
x+%2B+5x+%2B+7+=+133
6x+=+126
x+=+126%2F6
x+=+21
The first number is x, which is equal to 21.
The second number is 5x + 7, substituting:
5(21) + 7 = 112.
THe numbers are: 21 and 112.
Thank you.
~kmcruz09~