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:

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=84
b=7 k=7 28=196
c=1/4 k=1/4 28=7

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