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Find absolute value:| xy |

This topic has 1 expert reply and 0 member replies

Top Member

Find absolute value:| xy |

Post Thu Nov 09, 2017 10:29 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    What is the value of aboslute value:| xy |
    1: x² + y² = 10
    2: x²-y² = 6

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    GMAT/MBA Expert

    Post Thu Nov 09, 2017 6:59 pm
    S1:: We could have x = 3, y = 1, or x = √10, y = 0. Not sufficient.
    S2:: Same idea! We could have x = √7, y = 1, or x = √6, y = 0. Not sufficient.
    S1 + S2::

    Add the two together, yielding 2x² = 16, or x² = 8, or |x| = 2√2.

    Now subtract the first from the second, yielding 2y² = 4, or y² = 2, or |y| = √2.

    |xy| = |x| * |y|, so |xy| = 2√2 * √2, or 4.

    (Footnote: the solution plot is quite lovely. Smile)

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