Divide in ratio

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

Correct answer:

a =  7.5 cm
b =  4.5 cm

Step-by-step explanation:

$$\begin{gathered} x=12\text{ cm } \\ a=x\cdot {\displaystyle \frac{5}{5+3}}=12\cdot {\displaystyle \frac{5}{5+3}}={\displaystyle \frac{15}{2}}={\displaystyle \frac{15}{2}}\text{ cm}=7.5\text{ cm} \end{gathered}$$

$b=x-a=12-7.5={\displaystyle \frac{9}{2}}={\displaystyle \frac{9}{2}}\text{ cm}=4.5\text{ cm}$

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