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13 January, 22:00

Megan is half her mother's age. Next year both Megan's age and her mother's age will be a perfect square. How old is Megan's mother this year?

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  1. A
    14 January, 01:18
    0
    Y u use same letter name

    ok, we wil cal them kid and mom

    k=kid's age

    m=mom's age

    kid is half mom's age

    k=1/2m

    next year (both ages increased by 1)

    megan's age and mom's age will be perfect square

    k+1=r²

    m+1=c²

    where c and r are whole numbers

    ok, one way is to list all the perfect squares, decrease them by 1 and find which ones are double of another perfec tsquare

    0,1,4,9,16,25,36,49,64,81,100

    decrease by 1

    -1,0,3,8,15,24,35,48,63,80,99

    ah, 24 and 48

    their ages are 24 and 48
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