Orly's age is 4 years more than thrice Perla's age. Four years ago, Orly was four times as old as Perla was then. How old is each now?
Present age:
Perla --- x
Orly ---- 3x+4
four yrs ago
perla -- x-4
orly ---- 3x+4 - 4 or 3x
"Four years ago, Orly was four times as old as Perla was then"
---> 3x = 4(x-4)
3x = 4x - 16
x = 16
So Perla is 16 and Orla is 52
check:
now: Perla = 16, Orla = 52
4 yrs ago : Perla = 12, Orla = 48
Is 48 four times 12 ? YEA
Reiny i have some question if Perla is x=16 how about the solution for Orly
As I stated above, Orla is 52
I had defined his age as 3x+4, and 2(16)+4 = 52
To solve this problem, we can assign variables to the ages of Orly and Perla.
Let's say Orly's current age is O, and Perla's current age is P.
From the given information, we know that "Orly's age is 4 years more than thrice Perla's age." In equation form, this can be represented as:
O = 3P + 4 ----(equation 1)
We are also told that "Four years ago, Orly was four times as old as Perla was then." If we subtract 4 from the current ages of Orly and Perla, we get their ages four years ago.
So, Orly's age four years ago would be (O - 4), and Perla's age four years ago would be (P - 4). According to the given information, we can write the second equation as:
O - 4 = 4(P - 4) ----(equation 2)
Now we have a system of two equations with two variables. We can solve this system by substitution or elimination method.
Let's use substitution method:
From equation 1, we know that O = 3P + 4. We can substitute this value of O in equation 2 to solve for P.
(3P + 4) - 4 = 4(P - 4)
3P = 4P - 16
3P - 4P = -16
-P = -16
P = 16
Now we know that Perla's current age (P) is 16. We can substitute this value back into equation 1 to find Orly's current age (O):
O = 3P + 4
O = 3(16) + 4
O = 48 + 4
O = 52
Therefore, Perla's current age is 16 years old, and Orly's current age is 52 years old.