Question 1040368
 
Let j = Joe's age
let g = Glaze's age
let p = Prim's age
:
Write an equation for each statment
:
Joey is twice as old as Glaiza
j = 2g
or
g = .5j
 while Priam is 24 years younger than Joey.
p = j - 24

If half of Joey's age six years ago was three less than one half the sum of Glaiza's age in four years and Priam's present age, 
{{{1/2}}}(j-6) = {{{1/2}}}((g+4) + p) - 3
multiply both sides by 2 to get rid of the fractions
j - 6 = (g+4) + p - 2(3)
j - 6 = g + p + 4 - 6
Add 6 to both sides
j = g + p + 4
Replace g with .5j; replace p with (j-24)
j = .5j + (j-24) + 4
j -.5j - j = - 24 + 4
-.5j = -20
j = -20/-.5
j = +40 yrs is Joe's age
then
p = 40 - 24
p = 16 yrs is Prim's age
and
g = .5(40)
g = 20 yrs is Glaze's age