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Distributivity

Find a : b ...

Question

Find $a : b : c$ if $a : b$ = $6 : 7$ and $b : c$ $= 6 : 5$

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Solution

a:b=6:7
b:c=6:5
a:b=6:7= $6 \times 6 : 7 \times 6 = 36 : 42$
b:c=6:5= $6 \times 7 : 5 \times 7 = 42 : 35$
Hence the volume of 'b' are equal
Hence a:b:c = 36:42:35.

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