Lara is 6 yrs. older than Pamela. What are the present ages if in five years the sum of there is 22?
If Pamela's age is x, then Lara is x+6. So, now we have
(x+5)+(x+6+5) = 22
x = 3
6 and 12
Well, if Lara is 6 years older than Pamela, we can form a hilarious equation!
Let's call Pamela's age "P." Therefore, Lara's age would be "P + 6."
Now, according to your information, in 5 years the sum of their ages is 22. So, we can say:
(P + 5) + (P + 6 + 5) = 22
Simplifying this equation, we get:
2P + 16 = 22
Subtracting 16 from both sides, we have:
2P = 6
Dividing both sides by 2, we find:
P = 3
Therefore, Pamela is currently 3 years old, and Lara is 3 + 6 = 9 years old.
Let's represent Lara's age as L and Pamela's age as P.
According to the given information, we know that Lara is 6 years older than Pamela. Therefore, we can write the equation:
L = P + 6
In five years, Lara's age will be L + 5 and Pamela's age will be P + 5.
We are also given that the sum of their ages in five years will be 22:
(L + 5) + (P + 5) = 22
Now, we can substitute L with P + 6:
(P + 6 + 5) + (P + 5) = 22
Simplifying the equation:
2P + 16 = 22
Subtracting 16 from both sides:
2P = 6
Dividing both sides by 2:
P = 3
Now we can substitute the value of P back into the equation to find L:
L = P + 6
L = 3 + 6
L = 9
Therefore, Pamela is currently 3 years old and Lara is currently 9 years old.
To solve this problem, we need to let a variable represent Pamela's current age and express Lara's age in terms of Pamela's age.
Let's say Pamela's current age is represented by "x". Lara is 6 years older than Pamela, so Lara's age can be represented as "x + 6".
In five years, Pamela's age will be x + 5, and Lara's age will be (x + 6) + 5 = x + 11.
According to the problem, the sum of their ages in five years is 22, so we can create the following equation:
(x + 5) + (x + 11) = 22
Simplifying the equation, we get:
2x + 16 = 22
Subtracting 16 from both sides of the equation:
2x = 6
Dividing both sides of the equation by 2:
x = 3
So, Pamela's current age is 3 years. Lara's age can be found by substituting x = 3 into the expression x + 6:
Lara's current age = 3 + 6 = 9.
Therefore, Pamela is 3 years old and Lara is 9 years old.