Jackie is 8years younger than her neighbour Paula. The sum of their ages is 30.how old are Jackie and paula
Let's assume Paula's age is x years.
Therefore, Jackie's age is x - 8 years.
According to the problem, the sum of their ages is 30.
So, x + (x - 8) = 30
Combining like terms, we get 2x - 8 = 30.
Adding 8 to both sides, we have 2x = 38.
Dividing both sides by 2, we get x = 19.
Therefore, Paula's age is 19 years.
Jackie's age is 19 - 8 = 11 years.
In conclusion, Jackie is 11 years old and Paula is 19 years old.
To find the ages of Jackie and Paula, we can set up a system of equations based on the given information:
Let's assume Jackie's age is represented by "J" and Paula's age is represented by "P".
According to the given information:
1) Jackie is 8 years younger than Paula, which can be represented as: J = P - 8.
2) The sum of their ages is 30, which can be represented as: J + P = 30.
Now, we can solve this system of equations to find the values of J and P.
We can substitute the first equation into the second equation to eliminate J:
(P - 8) + P = 30
2P - 8 = 30
2P = 30 + 8
2P = 38
P = 38 / 2
P = 19
Now we know that Paula's age (P) is 19.
To find Jackie's age (J), we can substitute P = 19 into the first equation:
J = P - 8
J = 19 - 8
J = 11
Therefore, Jackie is 11 years old and Paula is 19 years old.
Let's solve this step by step.
Let's assume Jackie's age as J years.
According to the given information, Paula's age is 8 years more than Jackie's age, so Paula's age can be represented as J+8 years.
The sum of their ages is given as 30, which can be written as:
J + (J+8) = 30
Simplifying the equation further:
2J + 8 = 30
Subtracting 8 from both sides:
2J = 22
Dividing both sides by 2:
J = 11
So, Jackie is 11 years old.
Now, substituting the value of J in the equation for Paula's age:
Paula's age = 11 + 8 = 19
Therefore, Jackie is 11 years old and Paula is 19 years old.