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25 February, 05:21

Find the two-digit number whose tens digit is 4 less than its units digits if the original number is 2 more than 3 times the sum of the digits

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  1. 25 February, 05:30
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    Let the 2 digit number be ab remembering that ab=10a+b

    a=b-4 ... equation 1

    10a+b=3 (a+b) + 2 ... equation 2

    take a's value in equation 1 and plug it into equation 2

    10 (b-4) + b=3 (b-4) + 3b+2

    5b=30

    b=6 units digit

    a=6-4=2 tens unit

    number is 26
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