If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1, then which one of the following is the possible value of (a + b + c)?
Answer & explanation
Correct answer: option 3
a : b : c
3 : 4 : __
__ : 2 : 1
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*Note: Fill the numbers in the blanks, which is immediately left or right to the given numbers in a row.
We get:
a : b : c
3 : 4 : 4 ..........(i)
2 : 2 : 1 ..........(ii)
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6 : 8 : 4 (product of (i) & (ii))
3 : 4 : 2 = 9R
Now,
a + b + c = 9R
So, the value must be a multiple of 9
Out of all options, (c) satisfies i.e. 585