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24 September, 21:48

The difference between two numbers is 11 and twice the smaller number, minus four, equals the larger number. Find the two numbers.

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  1. 24 September, 23:33
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    The larger number is 26

    The smaller number is 15.

    Step-by-step explanation:

    Given as:

    The statement is

    The difference between two numbers = 11

    Twice the smaller number, minus four equal larger number

    Let The larger number = x

    Let The smaller number = y

    Now, From statements

    ∵ The difference between two numbers = 11

    i. e larger number - smaller number = 11

    Or, x - y = 11 ... A

    Again

    ∵ Twice the smaller number, minus four equal larger number

    i. e 2 * smaller number - 4 = larger number

    Or, 2 * y - 4 = x

    Or, 2 y - x = 4 ... B

    Now, Solving equation A and B

    (2 y - x) + (x - y) = 4 + 11

    Or, (2 y - y) + ( - x + x) = 15

    Or, y + 0 = 15

    ∴ y = 15

    So, The smaller number = y = 15

    Now, Put the value of y in eq A

    ∵ x - y = 11

    Or, x - 15 = 11

    Or, x = 11 + 15

    ∴ x = 26

    So, The larger number = x = 26

    Hence, The larger number is 26 and The smaller number is 15. Answer
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