SOLUTION: Thank you very much for all you do to help those who struggle! 18. The sum of two numbers is 86. The second is 1 more than 4 times the first. What are the two numbers?

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Question 56775: Thank you very much for all you do to help those who struggle!
18. The sum of two numbers is 86. The second is 1 more than 4 times the first. What are the two numbers?

Found 2 solutions by stanbon, tutorcecilia:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 86. The second is 1 more than 4 times the first. What are the two numbers?
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Let one of the numbers be "x".
The other is "4x+1".
EQUATION:
x+4x+1=86
5x=85
x=17 (the 1st number)
4x+1=69 (the 2nd number)
Cheers,
Stan H.

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 86. The second is 1 more than 4 times the first. What are the two numbers?
Let x+y =86
x+(4x+1)=86
x+4x+1=86
5x+1=86
5x=86-1
5x=85
5x/5=85/5
x=17 [First number]
.
(4x+1) [The second number]
4(17)+1
69
.
So, 17+69=86