divide 243 into three parts such that half of the first number,1/3rd of the second number and 1/4th of all parts are equal.
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Step-by-step explanation:
Let the numbers be a,b and c
Therefore 1/2a=1/3b=1/4c
Simplify them to get
6a/12=4b/12=3c/12
So 6a = 4b = 3c
Now take 6a equal to 4b
So b = 6a/4 or 3a/2
And now take 6a equal to 3c
So c = 6a/3 or 2a
Now as
Sum of a,b and c =243
Therefore
a + 3a/2 + 4a/2 = 243
9a=243*2=486
a=54
b=3/2*54=81
c=2*54=108
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