math ASAP

A rope was cut into two pieces in the ratio 7:9 if one was longer by 6cm,what are the lengths of the two pieces?

a.21 cm and 27 cm
b.24 cm and 30 cm
c.26 cm and 32 cm
d.31 cm and 37 cm

Please help me how to answer this..its for my report thank you

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  1. 27/21 = 9/7 * 3/3
    the others do not work

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  2. x/(x+6) = 7/9
    9x = 7(x+6)
    9x = 7x + 42
    2x = 42
    x = 21
    so, x+6 = 27

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