Matematika

Pertanyaan

1/a + 1/b = 1/6
1/a + 1/c =1/8
1/b + 1/c =1/8

1 Jawaban

  • 1/a + 1/b = 1/6
    1/a + 1/c = 1/8
    1/b + 1/c = 1/8
    Jumlahkan
    2(1/a + 1/b + 1/c) = (4 + 3 + 3)/24
    1//a + 1/b + 1/c = 10/(2 × 24)
    1/a + 1/b + 1/c = 5/24

    1/a + 1/b = 1/6
    5/24 - 1/c = 1/6
    1/c = 5/24 - 4/24
    1/c = 1/24
    c = 24 ✔

    1/a + 1/c = 1/8
    1/a = 1/8 - 1/c
    1/a = (3 - 1)/24
    1/a = 1/12
    a = 12 ✔

    1/b + 1/c = 1/8
    1/b = 1/a = 1/12
    b = 12 ✔

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