Jack was 10 years older then Priscilla together their ages totaled 170 years what were there ages?
Let's solve this step-by-step:
Let's assume that Priscilla's age is x.
According to the given information, Jack is 10 years older than Priscilla, so Jack's age is x + 10.
Together, their ages totaled 170 years, so we can write the equation: x + (x + 10) = 170.
Simplifying the equation, we have: 2x + 10 = 170.
Subtract 10 from both sides: 2x = 160.
Divide both sides by 2: x = 80.
Therefore, Priscilla is 80 years old and Jack is 80 + 10 = 90 years old.
To find Jack and Priscilla's ages, let's follow these steps:
Step 1: Set up equations based on the given information.
Let's assume Priscilla's age is "x" years. According to the problem, Jack is 10 years older than Priscilla, so Jack's age would be "x + 10" years.
Step 2: Create an equation for their combined ages.
The sum of their ages is given as 170 years. So, the equation would be:
x + (x + 10) = 170
Step 3: Solve the equation.
To find the solution for this equation, we can simplify it:
2x + 10 = 170
2x = 170 - 10
2x = 160
x = 160/2
x = 80
Step 4: Calculate their ages.
Using the value of x we obtained (x = 80), we can find their ages:
Priscilla's age = x = 80 years old
Jack's age = x + 10 = 80 + 10 = 90 years old
Therefore, Priscilla is 80 years old, and Jack is 90 years old.
x + x + 10 = 170
2x = 160
x = 80
Priscilla was 80