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17 June, 21:37

1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and

the sum of the ages of all 3 is 147 years, what is the age difference between oldest the

youngest?

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Answers (1)
  1. 17 June, 21:52
    0
    37 years difference.

    Step-by-step explanation:

    K = Kissi

    k = Age of Kissi

    E = Esinam

    e = Age of Esinam

    L = Lariba

    l = Age of Lariba

    k + e + l = 147

    K : E

    3 : 5 → (*3) → 12 : 15

    E : L

    3 : 5 → (*5) → 15 : 25

    K : E : L

    12 : 15 : 25

    12 + 15 + 25 = 52

    147/52 = 2.8269 ...

    K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.

    k = 12 * 2.8269 ... = 33.923 ... → 34 y/o

    e = 15 * 2.8269 ... = 42.40 ... → 42 y/o

    l = 25 * 2.8269 ... = 70.673 ... → 71 y/o

    ∴ The difference between the youngest and oldest is:

    71 - 34 = 37
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