Paula, Dianna and Annie are three friends. Paula is twice as old as Dianna, and in 2 years she will be three times as old as Annie. If Dianna is 5 years older than Annie, how old is Paula?

please use algebra to justify your answer.

1 answer

p = 2d
p+2 = 3(a+2)
d = a+5

p+2 = 3(d-5+2) = 3(p/2 - 3)
p+2 = 3/2 p - 9
p/2 = 11
p = 22