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Michelle is 7 years older than her sister Joan, and Joan is 3 years younger than their brother Ryan. If the sum of their ages is 64, how old is Joan?

Respuesta :

JeanaShupp

Answer:  Joan is 18 years old.

Step-by-step explanation:

Let x be the present age of Ryan.

Then  age of Joan = x-3.

Age of Michelle = (x-3)+7=x-3+7=x+4

Also, the of their ages is 64, then we have the following equations ;_

[tex]x+x-3+x+4=64\\\\\Rightarrow\ 3x+1=64\\\\\Rightarrow\ 3x=64-1\\\\\Rightarrow\ x=\dfrac{63}{3}=21[/tex]

Now, The age of Joan = x-3= 21-3=18

Hence, Joan is 18 years old.

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