SOLUTION: The sum of two numbers is 84. The first is 9 more than 4 times the second. Find the first number.

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Question 213997: The sum of two numbers is 84. The first is 9 more than 4 times the second. Find the first number.
Answer by drj(1380) About Me  (Show Source):
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The sum of two numbers is 84. The first is 9 more than 4 times the second. Find the first number.

Step 1. Let x be the second number. Let 9+4x is be first number.

Step 2. x+9+4x=84 The sum of two numbers is 84.

Step 3. Simplify: 5x+9=84.

Step 4. Subtract 9 to both sides of equation: 5x+9-9=84-9=75

Step 5. Simplify and divide by 5: 5x=75 or x=15. Then 9+4x=9+4(15)=69

Step 6. The first number is 69.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J