Question
Three numbers ‘A’, ‘B’ and ‘C’ are such
that ‘A’ is two-third of ‘B’ and ‘C’ is equal to the average of ‘A’ and ‘B’. If the sum of these three numbers is 450, then find the value of ‘A’.Solution
Let the value of ‘B’ be ‘6x’ So, value of ‘A’ = (2/3) × 6x = ‘4x’ So, value of ‘C’ = (4x + 6x)/2 = 10x/2 = ‘5x’ ATQ; 4x + 6x + 5x = 450 Or, 15x = 450 Or, x = 30 So, value of ‘A’ = 4x = 4 × 30 = 120
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