Question
Three numbers are in the ratio 2:5:9. If the difference
between the sum of the smallest and the largest and the sum of the smallest and the second number is 28, find the greatest number.Solution
ATQ, Let the three numbers be 2x, 5x and 9x respectively. ATQ, (2x + 9x) – (2x + 5x) = 28 Or, 4x = 28 So, x = 7 Therefore, largest number = 9x = 9 × 7 = 63
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