Ayanna is 3 years older than Brittany. The sum of 3 times Brittany's age and 2 times Ayanna's age is 76. How old are Ayanna and Brittany?

Ayanna is 17 and Brittany is 14.

To find this, let's write two equations using the given information.

a = b + 3

3b + 2a = 76

Now, just substitute the first equation into the second and solve.

3b + 2 (b + 3) = 76

3b + 2b + 6 = 76

5b = 70

b = 14

If Brittany is 14, then Ayanna is 3 years older at 17.