Tina is six years younger than Patrice, and Mai Lee's age is ten less than twice Patrice's age. If the sum of all three ages is 76, how old is Mai Lee?

Answer 1

Since all the ages are given in relation to Patrice:

Let P = Patrice's age

P - 6 represents Tia's age (six years younger)

2P - 10 represents Mai's age (she is ten younger then twice Patrice's age)

The sum of those ages is 76:

P + P - 6 + 2P - 10 = 76

4P - 16 = 76

4P = 92

P = 92/4 = 23

Tia is 17

Mai Lee is 36