Three-fourths 5676

The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum?

Correct answer:

x =  392

Step-by-step explanation:

a=4k b = 7k c = 14k   3/4 a = 1+ c/5 3/4  4k = 1+ 14k/5 k=1/(314/5)=5 a=4 k=4 5=20 b=7 k=7 5=35 c=14 k=14 5=70 x=a b c/(a+b+c)=20 35 70/(20+35+70)=392

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