Answer:
29
Step-by-step explanation:
Let c, r, g stand for the current ages of Carolina, Raul, and Ginny. Then we have the relations ...
c = 2r
g = 3r +4
c + r + g = 52
Substituting for c and g, we get ...
2r + r + (3r +4) = 52
6r = 48 . . . . . . . . . . . . . subtract 4
r = 8 . . . . . . . . . . . . . . . divide by 8
g = 3(8) +4 = 28 . . . . . .Ginny is presently 28
On Ginny's next birthday, she will be 29.
Answer: Ginny would be 29 years old on her next birthday.
Step-by-step explanation:
Let c represent Carolina's current age.
Let r represent Raul's current age.
Let g represent Ginny's current age.
Carolina is twice as old as Raul. It means that
c = 2r
Ginny is the oldest and is three times Raul's age plus four. It means that
g = 3r + 4
Their ages add up to be 52. It means that
c + r + g = 52 - - - - - - - - - - - - 1
Substituting
c = 2r and g = 3r + 4 into equation 1, it becomes
2r + r + 3r + 4 = 52
6r + 4 = 52
6r = 52 - 4 = 48
r = 48/6 = 8
c = 2r = 2 × 8
c = 16
g = 3r + 4 = 3 × 8 + 4
g = 24 + 4 = 28
On Ginny's next birthday, she would be 28 + 1 = 29 years old
