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Ganezh [65]
3 years ago
6

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?
16
22
18
19
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

(C) 18

Step-by-step explanation:

We can create a systems of equations. Assuming m is Michelle's age, j is Joan's age, and r is Ryan's age, the equations are:

m = j + 7

j = r-3

m+j+r = 64

We can use substitution, since we know the "values" of m and j.

(j+7)+(r-3)+r = 64\\(j+7)+(2r-3)=64\\2r + j + 4 = 64\\2r + j = 60\\\\

r = 21, j = 18

So we know that Joan is 18 years old.

Hope this helped!

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