Three numbers

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

Correct result:

a =  84
b =  196
c =  7

Solution:

s=287 a+b+c=s 3k+7k+0.25k=s k=s/(3+7+1/4)=287/(3+7+1/4)=28 a=3⋅ k=3⋅ 28=84s=287 \ \\ a+b+c=s \ \\ 3k+7k+0.25k=s \ \\ k=s/(3+7+1/4)=287/(3+7+1/4)=28 \ \\ a=3 \cdot \ k=3 \cdot \ 28=84
b=7⋅ k=7⋅ 28=196b=7 \cdot \ k=7 \cdot \ 28=196
c=1/4⋅ k=1/4⋅ 28=7c=1/4 \cdot \ k=1/4 \cdot \ 28=7

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