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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asked May 12, 2023 169k views

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Marian Zburlea · Answer 1 · 2023-05-17T09:51:57+0000

Answer: Hadassah is 12.

Step-by-step 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

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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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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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?