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7 September, 05:47

Suppose the ratio of Lev's age to Mina's age is 1:2 and the ratio of Mina's age to Naomi's age is 3:4

If the sum of all three ages is between 30 and 50, then how old is Mina?

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  1. 7 September, 05:54
    0
    1/2M + M + 4/3M = 30 to 50 (multiply eq'n by 6)

    3M + 6M + 8M = 180 to 300

    17M = 180 to 300

    To ensure all ages are whole numbers, find all numbers between 180 and 300 divisible by 17 and 6 = 204

    17 M = 204

    M = 12
  2. 7 September, 06:09
    0
    Lev=L

    Mina=M

    Naomi=N

    L:M M:N

    1:2 3:4

    3:6 6:8

    6:12 12:16

    6+12+16=34

    Mina is 12 years old.
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