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26 August, 20:00

Jonah has a large collection of marbles he notices that if he borrows five marbles from a from a friend he can arrange the marbles in rows of 13 inch what is the remainder when he divides original number of marbles by 13

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  1. 26 August, 22:40
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    The remainder is 8

    Step-by-step explanation:

    Let Jonah's Marble=x

    If he arranges x marbles into y rows of 13 each, and there are remainders (R)

    Then:

    x/13=y + (R/13) ... (I)

    If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1

    New Total Marbles=x+5

    (x+5) / 13=y+1 ... (ii)

    x+5=13 (y+1)

    x=13y+13-5

    x=13y+8

    From (I)

    x=13y+R

    Comparing the values of x derived from (I) and (ii)

    13y+R=13y+8

    Therefore the Remainder, R = 8
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