Question
The ratio of two numbers ‘P’ and ‘Q’ is 4:5,
respectively. If 6 is added to each of ‘P’ and ‘Q’, then the ratio of ‘P’ and ‘Q’ becomes 5:6. The sum of ‘P’ and ‘Q’ is:Solution
Let the two numbers ‘P’ and ‘Q’ be ‘4x’ and ‘5x’, respectively ATQ; (4x + 6)/(5x + 6) = 5/6 Or, 24x + 36 = 25x + 30 Or, x = 6 Now, sum of ‘P’ and ‘Q’ = 4 × 6 + 5 × 6 = 54
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