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    Question

    The ratio of two numbers β€˜A’ and β€˜B’ is 3:5,

    respectively. If 10 is added to each of β€˜A’ and β€˜B’, then the ratio of β€˜A’ and β€˜B’ becomes 5:7. The sum of β€˜A’ and β€˜B’ is:
    A 32 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer

    Solution

    Let the two numbers β€˜A’ and β€˜B’ be β€˜3x’ and β€˜5x’, respectively ATQ; (3x + 10)/(5x + 10) = 5/7 Or, 21x + 70 = 25x + 50 Or, 4x = 20 Or, x = 5 Now, sum of β€˜A’ and β€˜B’ = 3 Γ— 5 + 5 Γ— 5 = 40

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