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 .
Answers
Answered by
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
------------------------------------------
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.
Similar questions