Question

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?

Answer 1

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.