SOLUTION: one number is 3 more than twice a second number. their sum is 27. find the numbers. (write an equation for this problem)

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Question 221471: one number is 3 more than twice a second number. their sum is 27. find the numbers. (write an equation for this problem)
Found 2 solutions by jim_thompson5910, drj:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
"one number is 3 more than twice a second number" means that


"their sum is 27" means


Start with the 2nd equation


Plug in


Combine like terms on the left side.


Subtract from both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


Move onto to the 1st equation


Plug in


Multiply.


Combine like terms on the right side.


So the two numbers are 8 and 19
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
One number is 3 more than twice a second number. Their sum is 27. Find the numbers. (Write an equation for this problem)

Step 1. Let m be the second number

Step 2. Let 2m+3 be the one number since it's 3 more than twice a second number.

Step 3. Then m+2m+3=27 since their sum is 27.

Step 4. Solving the equation in Step 3 yields the following steps.

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: m=8.
  • Graphical form: Equation was fully solved.
  • Text form: m+2m+3=27 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( m+2m+3=27 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+m+%29,highlight_red%28+2%2Am+%29 replacing them with highlight_green%28+%281%2B2%29%2Am+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-27+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -24
It becomes .
Look at .
Solved linear equation highlight_red%28+3%2Am-24=0+%29 equivalent to 3*m-24 =0
It becomes .
Result:
This is an equation! Solutions: m=8.

Universal Simplifier and Solver


Done!



m=8 and 2m+3=19 and note that their sum is 27.

Step 5. ANSWER: The numbers are 19 and 8.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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