Matematika

Pertanyaan

Umur A : umur B = 2 : 3 . Umur B : umur C = 4 : 5 . Jika jumlah umur ketiganya 70 tahun , tentukan umur mereka masing masing .

2 Jawaban

  • B/C = 4/5 -> 5B = 4C -> B = 4/5 C
    A/B = 2/3 -> 3A = 2B 3A = 2 x 4/5 C3A = 8/5 CA = 8/15 C
    A + B + C = 708/15 C + 4/5 C + C = 70(8/15 + 4/5 + 1) C = 70(8/15 + 12/15 + 15/15) C = 70(35/15) C = 707/3 C = 70C = 70 × 3/7C = 30
    A = 8/15 C = 8/15 × 30 = 16B = 4/5 C = 4/5 × 30 = 24
    maka, umur A = 16 , B = 24 dan C = 30
  • ========= Jawaban =========

    Pertanyaan yg diajukan = 1
    Sub. Bab = Perbandingan

    Pembahasan :
    A : (B) = 2 : (3) dikali 4
    (B) : C = (4) : 5 dikali 3

    A : B : C
    = 8 : 12 : 15

    Jumlah
    = 8 + 12 + 15
    = 35

    Umur A
    = 8/35 × 70
    = 16

    Umur B
    = 12/35 × 70
    = 24

    Umur C
    = 15/35 × 70
    = 30 [tex] [/tex]
    ____________________

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