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4 February, 07:46

When a number is decreased by 7% the result is 66. What is the original number to the nearest tenth?

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  1. 4 February, 08:15
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    61.7

    Step-by-step explanation:

    Let the number be x

    % increase in the number : 7

    Thus, actual increase in number will be 7% of x = 7/100 of x = 7x/100

    Thus, new number with 7% increase = x + 7x/100

    given that value of new number with 7% increase is 66

    Thus,

    x + 7x/100 = 66

    => (100x+7x) / 100 = 66

    => 107 x = 66*100

    => x = 6600/107 = 61.682

    Thus, original number is 61.682

    but we have to find the number to nearest tenth.

    original number is 61.7
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