Three numbers

The sum of the three numbers is 287. These numbers are in a ratio of 3: 7: 1/4. Find these numbers.

Correct answer:

a =  84
b =  196
c =  7

Step-by-step explanation:

$$\begin{gathered} s=287 \\ a+b+c=s \\ 3k+7k+0.25k=s \\ k=s\mathrm{/}(3+7+1\mathrm{/}4)=287\mathrm{/}(3+7+1\mathrm{/}4)=28 \\ a=3\cdot k=3\cdot 28=84 \end{gathered}$$

$b=7\cdot k=7\cdot 28=196$

$c=1\mathrm{/}4\cdot k=1\mathrm{/}4\cdot 28=7$

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