Question
Three numbers are in the ratio 6:9:14. If the difference
between the sum of the smallest and the largest number and the sum of the smallest and the second largest number is 30, then find the largest number.Solution
ATQ;
Let the three numbers be 6x, 9x, and 14x, respectively.
ATQ,
(6x+14x)−(6x+9x)=30
20x−15x=30
5x=30
x=6
Therefore, the largest number = 14x = 14 × 6 = 84
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