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10 June, 11:34

Amrita thinks of a number. She doubles it, adds 9, divides her answer by 3 and finally subtracts 1. She obtains the same number she originally thought of. What was Amrita's number?

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  1. 10 June, 11:54
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    Amrita's number is 6

    Step-by-step explanation:

    x Double the unknown number

    2x Add 9

    2x + 9 Divide the answer by 3

    2/3x + 3 Subtract 1

    2/3x + 2 Set this equal to the original number

    2/3x + 2 = x

    -2/3x - 2/3x Subtract 2/3x from both sides

    2 = 1/3x Multiply both sides by 3

    6 = x
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