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    Foxhouse's Avatar
    Foxhouse Posts: 4, Reputation: 1
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    #1

    Aug 10, 2010, 06:11 AM
    Find the pattern. 75 x 75 = 5,625 45 x 45 = 2,025 95 x 95 = 9,025 65 x 65 = ?
    I need to find the pattern in order to find the last product without multiplying. Thanks
    ROLCAM's Avatar
    ROLCAM Posts: 1,420, Reputation: 23
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    #2

    Aug 10, 2010, 06:30 AM

    1) 7*(7+1) = 7*8 = 5,625
    2) 4*(4+1) = 4*5 = 2,025
    3) 9*(9+1) = 9*10 = 9,025
    4) 6*(6+1) = 6*7 = 4,225

    For this to work,the first digits must be equal and the addition of the two second digits must equal to 10.
    Foxhouse's Avatar
    Foxhouse Posts: 4, Reputation: 1
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    #3

    Aug 10, 2010, 06:39 AM
    Quote Originally Posted by ROLCAM View Post
    1) 7*(7+1) = 7*8 = 5,625
    2) 4*(4+1) = 4*5 = 2,025
    3) 9*(9+1) = 9*10 = 9,025
    4) 6*(6+1) = 6*7 = 4,225

    For this to work,the first digits must be equal and the addition of the two second digits must equal to 10.
    Thank you so much! Foxhouse
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #4

    Aug 10, 2010, 06:40 AM

    Given a number A5, where A is a single digit, when you square it the first digits of the answer are always equal to the A^2 + A, and the last two digits are always 25. So for example, for 35^2. we set A = 3, and the first digits of the answer are 3^2+3 = 12. So: 35^2 = 1225.

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