Question 991183
Hi there,
juanita is twice as old as vanessa,
J = 2V
if five years were subtracted from vanessas age,
and two years added to juanitas, juanita will 
be five times as old as vanessa. 
J + 2 = 5(V - 5)
Replace J with 2V from top equation.
2V + 2 = 5(V - 5)
2V + 2 = 5V - 25
Collect like terms.
2V - 5V = -25 - 2
-3V = -27
V = 9
Vanessa is 9 years old
Juanita is 18 years old.
Hope this helps :-)