Question
The ratio of two numbers ‘A’ and ‘B’ is 3:5,
respectively. If 10 is added to each of ‘A’ and ‘B’, then the ratio of ‘A’ and ‘B’ becomes 5:7. The sum of ‘A’ and ‘B’ is:Solution
Let the two numbers ‘A’ and ‘B’ be ‘3x’ and ‘5x’, respectively ATQ; (3x + 10)/(5x + 10) = 5/7 Or, 21x + 70 = 25x + 50 Or, 4x = 20 Or, x = 5 Now, sum of ‘A’ and ‘B’ = 3 × 5 + 5 × 5 = 40
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