Divide in ratio

Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?

Correct result:

a =  7.5 cm
b =  4.5 cm

Solution:

x=12 cm a=x⋅ 55+3=12⋅ 55+3=152=152 cm=7.5 cm
b=x−a=12−7.5=92=92 cm=4.5 cm

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