SOLUTION: Cary is 7 years older than Dan. In 6 years the sum of their ages will be 63. Find the age of each man now.

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Question 1050013: Cary is 7 years older than Dan. In 6 years the sum of their ages will be
63. Find the age of each man now.
Found 3 solutions by josmiceli, advanced_Learner, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = Cary's age now
Let +d+ = Dan's age now
---------------------------
(1) +c+=+d+%2B+7+
(2) +c+%2B+6+%2B+d+%2B+6+=+63+
(2) +c+%2B+d+=+51+
-------------------------
(1) +c+-+d+=+7+
(2) +c+%2B+d+=+51+
-------------------
+2c+=+58+
+c+=+29+
and
(1) +c+=+d+%2B+7+
(1) +29+=+d+%2B+7+
(1) +d+=+22+
-------------------
Cary is 29
Dan is 22
------------
check:
In 6 yrs the sum of their ages is 63
+29%2B+6+%2B+22+%2B+6+=+63+
+35+%2B+28+=+63+
+63+=+63+
OK

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
x dan
cary x+7

in 6 years
x+6 dan
x+13 for cary
2x%2B19=63
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=22.
  • Graphical form: Equation 2x%2B19=63 was fully solved.
  • Text form: 2x+19=63 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x%2B19=63+%29
    For tutors: simplify_cartoon( 2x+19=63 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ax%2B19=highlight_red%28+63+%29.
Moved these terms to the left highlight_green%28+-63+%29
It becomes 2%2Ax%2B19-highlight_green%28+63+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+19+%29-highlight_red%28+63+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-44+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+-44+%29=0.
Removed extra sign in front of -44
It becomes 2%2Ax-highlight_green%28+44+%29=0.
Look at highlight_red%28+2%2Ax-44+%29=0.
Solved linear equation highlight_red%28+2%2Ax-44=0+%29 equivalent to 2*x-44 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=22.

Universal Simplifier and Solver


Done!

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
When you get so simple equations, do not use online solver.
Solve them on your own.