SOLUTION: The sum of two numbers is 112. the second is 7 more than 4 times the first. What are the two numbers?
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Question 92979: The sum of two numbers is 112. the second is 7 more than 4 times the first. What are the two numbers?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"The sum of two numbers is 112."
"The second is 7 more than 4 times the first."
Plug in
Combine the variable terms x and 4x on the left side to get 5x
Subtract 7 from both sides
Combine like terms -7 and 112 on the right side to get 105
Now divide both sides by 5 to isolate and solve for x
Reduce
So one answer is
Now plug in x=21 into to find y
So the two numbers are 21 and 91
Check:
plug in x=21, y=91
works
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