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 (Sushil is 6 years older than Brian)

c = b - 5 (Caroline is 5 years younger than Brian)

s + b + c = 64 (The total of their ages is 64)

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.

8 0

3 years ago

Find the nth term of 67,56,45,34

kvv77 [185]

Answer:

an = 67 -11(n -1)

Step-by-step explanation:

The terms of your arithmetic sequence have a common difference of -11. The first term is 67.

These values can be used in the generic formula for the n-th term:

an = a1 +d(n -1) . . . . . . first term a1, common difference d

an = 67 -11(n -1) . . . . . formula for the n-th term

7 0

3 years ago