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Posted by on Sunday, September 7, 2008 at 5:31pm.

The ratio of two numbers is 3 to 2 and the difference of their squares is 20. Find the numbers.

  • Math (alg 2) - , Sunday, September 7, 2008 at 5:42pm

    a/b = 3/2 so a is bigger
    a^2 - b^2 = 20
    well
    b = 2a/3
    so
    a^2 - 4a^2/9 = 20
    9 a^2 - 4 a^2 = 180
    a^2 = 36
    a = 6 or -6
    try a = 6
    then b = 4
    36 - 16 = 20 sure enough

    then also check a = -6
    then b = -4
    36 - 16 = 20 so that works too

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