Question
There are three numbers, such that thrice the first
number is equal to four times the second number and six times the third number. Find the ratio of the first, second and third number.Solution
Let the numbers be A, B, C. Given: 3A = 4B = 6C. Let this common value be k. So, A = k/3, B = k/4, C = k/6. Ratio A : B : C = k/3 : k/4 : k/6. Multiply by LCM of 3,4,6 which is 12: => (12k/3) : (12k/4) : (12k/6) = 4k : 3k : 2k = 4 : 3 : 2
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