Funny math logic

Level 1

$a, b,$ and $c$ are fixed constants.If $a+b=c$ and $c+b=a$ , is it true that $a=c$ ?

true false

2 solutions

Peter Michael
Sep 5, 2015

Begin by adding both equations together $a+b+c+b=a+c$ . Simplifying the left expression we can derive $a+c+2b=a+c$ . Subtracting both expressions by the term $a+c$ we are left with $2b=0$ . Which implies $b=0$ . Through substitution of this result into either of the premises it is proved that $a=c$ .

its more easy if we subtract equation 1 from equation 2 . we will get 2a=2c and dividing 2 from both sides simply it prove a=c . But thanks a lot Peter Michael for your wonderful solution

Reduan Rafi - 5 years, 9 months ago

Elchanan Haas
Sep 6, 2015

a+b=c a=b+c -b=-b add them all and... 2a=2c a=c

Funny math logic

2 solutions

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