Question

divide 343 into 3 parts that half of the first part one third of the second part and one fourth of the third part are all equal .​

Answer 1

Answer:

Number = 343

Let the number be divided into three parts a,b&c

a+b+c = 343

Now, according to the question ;

(1/2)a = (1/3)b = (1/4)c

-------------(multiply each by LCM of 2,3,4 = 12)

(12/2)a = (12/3)b = (12/4)c

6a = 4b = 3c

_______________________

a:b = 4/6 = 2:3

b:c = 3:4

a:b:c = 2:3:4

_______________________

Let the common ratio be x, then

2x + 3x + 4x = 343

9x = 343

x = 38.11

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Hence the three parts are ;

a = 2x = 2× 38.11= 76.22

b = 3x = 3×38.11 = 114.33

c = 4x = 4×38.11= 152.44

Hope this may help you.