Question
The ratio of two numbers ‘A’ and ‘B’ is 5:8,
respectively. If 15 is added to each of ‘A’ and ‘B’, then the ratio of ‘A’ and ‘B’ becomes 2:3. The sum of ‘A’ and ‘B’ is:Solution
Let the two numbers ‘A’ and ‘B’ be ‘5x’ and ‘8x’, respectively ATQ; (5x + 15)/(8x + 15) = 2/3 Or, 15x + 45 = 16x + 30 Or, x = 15 Now, sum of ‘A’ and ‘B’ = 5 × 15 + 8 × 15 = 195
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