samsonisnothere samsonisnothere

08-06-2022
Mathematics

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Hedya is 4 times as old as Hannah, and Hannah is 1.5 times as old as Hadassah. If the sum of their ages is 102, how old is Hadassah?

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jacquelynenellis jacquelynenellis

08-06-2022

Answer: Hadassah is 12.

Explanation:
x=Hedya
y=Hannah
z=Hadassah
x+y+z=102
x=4y
y=1.5z
z=?

4x1.5z=6z (also x or Hedya's age)
z+1.5z+6z=102
8.5z=102
z=12

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