SOLUTION: A number is 12 more than the other. Find the numbers if their sum is 48.

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Question 756294: A number is 12 more than the other. Find the numbers if their sum is 48.

Found 2 solutions by algebraic penguin, Cromlix:
Answer by algebraic penguin(13) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller number be x.
Since the largest number is 12 more than it, the larger number is x+12.
Their sum is x+(x+12)=2x+12.
2x+12=48, since their sum is 48, so 2x=48-12=36, and x=36/2=18.
Since x is 18, x+12=30, which are the value of the 2 numbers.
Thus, the numbers are 18 and 30.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=18.
  • Graphical form: Equation x%2B%28x%2B12%29=48 was fully solved.
  • Text form: x+(x+12)=48 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B%28x%2B12%29=48+%29
    For tutors: simplify_cartoon( x+(x+12)=48 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2Bhighlight_red%28+%28x%2B12%29+%29=48.
Remove unneeded parentheses around terms highlight_red%28+x+%29,highlight_red%28+12+%29
It becomes x%2Bhighlight_green%28+x+%29%2Bhighlight_green%28+12+%29=48.
Look at highlight_red%28+x+%29%2Bhighlight_red%28+x+%29%2B12=48.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%281%2B1%29%2Ax+%29
It becomes highlight_green%28+%281%2B1%29%2Ax+%29%2B12=48.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B12=48.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax%2B12=48.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B12=48.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax%2B12=48.
Look at 2%2Ax%2B12=highlight_red%28+48+%29.
Moved these terms to the left highlight_green%28+-48+%29
It becomes 2%2Ax%2B12-highlight_green%28+48+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+12+%29-highlight_red%28+48+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-36+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+-36+%29=0.
Removed extra sign in front of -36
It becomes 2%2Ax-highlight_green%28+36+%29=0.
Look at highlight_red%28+2%2Ax-36+%29=0.
Solved linear equation highlight_red%28+2%2Ax-36=0+%29 equivalent to 2*x-36 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=18.

Universal Simplifier and Solver


Done!

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
First number = x
Second number = x + 12
x + (x + 12) = 48
2x + 12 = 48
2x = 48 - 12
2x = 36
x = 18
First number = 18
Second number = 30
18 + 30 = 48
Hope this helps
:-)