If brandons, Tanias, and sha'lieses ages totaled 37 and Brandon is 6 years older than Tania and sha'lieses is 8 years younger than Tania. What are their ages?

Brandon's age = 19

Tania's age = 13

sha'lieses aga = 5

Step-by-step explanation:

Let the age of brandion be x and the age of tania be y and the age of sha'lieses be z

Given the sum of their age's is 37

x + y + z = 37

Given that Brandon is 6 years older than Tania which means

x = y + 6

Given that tania is 8 years older than sha'lieses

y = z + 8

Now x = (z + 8) + 6

x = z + 14

substitute x and y in the first equation we get

(z + 14) + (z + 8) + z = 37

3z + 22 = 37

z = 5

x = z + 14 = 19

y = z + 8 = 13