SOLUTION: Solve this word problem algebraically using one variable. The sum of the page numbers on the facing pages of a book (consecutive integers) is 385. What are the page numbers (t

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Solve this word problem algebraically using one variable. The sum of the page numbers on the facing pages of a book (consecutive integers) is 385. What are the page numbers (t      Log On


   

Question 283237: Solve this word problem algebraically using one variable.
The sum of the page numbers on the facing pages of a book (consecutive integers) is 385. What are the page numbers (the left page and the right page as the book lies open)? (note: the code states what your variable represents).
CODE:
EQUATION:
SOLUTION:
Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=192.
  • Graphical form: Equation 2%2Ax%2B1=385 was fully solved.
  • Text form: 2*x+1=385 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2%2Ax%2B1=385+%29
    For tutors: simplify_cartoon( 2*x+1=385 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ax%2B1=highlight_red%28+385+%29.
Moved these terms to the left highlight_green%28+-385+%29
It becomes 2%2Ax%2B1-highlight_green%28+385+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+1+%29-highlight_red%28+385+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-384+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+-384+%29=0.
Removed extra sign in front of -384
It becomes 2%2Ax-highlight_green%28+384+%29=0.
Look at highlight_red%28+2%2Ax-384+%29=0.
Solved linear equation highlight_red%28+2%2Ax-384=0+%29 equivalent to 2*x-384 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=192.

Universal Simplifier and Solver


Done!


So
x = 192
x + 1 = 193

Check:
192 + 193 = 385 and bob's your uncle!