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27 January, 06:37

Ethan is thinking of two numbers. The difference of two numbers is 5. Five times the lesser number minus the greater number is 7. What are Ethan's numbers.

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  1. 27 January, 08:45
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    If we write the bigger number as x, and the smaller number as y, we can write it as simultaneous equations.

    So, if the difference is 5, we can say that

    x-y=5

    And if five times the smaller number minus the greater number is 7, then we can write that as

    5y-x=7

    You can add these together to get 4y=12, and if we simplify, we get y=3.

    We know that the difference is 5, so 3+5=8.

    Therefore, Ethan's numbers are 3 and 8.
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