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GarryVolchara [31]
2 years ago
11

Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the you

ngest of them
Mathematics
1 answer:
Nadusha1986 [10]2 years ago
8 0

Answer:

16 years old

Step-by-step explanation:

Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:

s = b + 6 <em>(Sushil is 6 years older than Brian)</em>

c = b - 5 <em>(Caroline is 5 years younger than Brian)</em>

s + b + c = 64 <em>(The total of their ages is 64)</em>

Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:

(b + 6) + b + (b - 5) = 64

3b + 1 = 64

3b = 63

b = 21

Now that we know Brian's age, we can simply subtract 5 to find Caroline's:

c = b - 5 = 21 - 5 = 16 years old.

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