SOLUTION: jack was 11 years older than priscilla together their ages are 153, what were their ages.
Please help me break this down in the correct formula having lots of trouble understan
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Question 800759: jack was 11 years older than priscilla together their ages are 153, what were their ages.
Please help me break this down in the correct formula having lots of trouble understanding.
Found 2 solutions by josmiceli, VictoryStar:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jack's age
Let = Priscilla's age
----------------------
(1)
(2)
------------------
Subtract from both sides of (1)
(1)
Now add the equations
(1)
(2)
and, since
(1)
(1)
Subtract from both sides
(1)
Jack is 82 and Priscilla is 71
Answer by VictoryStar(6) (Show Source): You can put this solution on YOUR website!
Use Priscilla's age as X, as we do not know.
Since Jack is eleven years older, that adds 11 to her age, which is X + 11
Since their ages equal to 153, on the right side of the equation, it would = 153
Combine these three, and you will get X + X + 11 = 153.
Subtract 11 from both sides, and you will have X + X = 142
Combine like terms (Where all numbers that have a similar ending are added together) and you get 2X = 142
Divide both sides by two, so you can isolate the variable (Getting the X on it's own.)
X = 71
Priscilla's age is 71, and since Jack is 11 years older (X + 11 = 71 + 11),
You will get 82.
Plug in 71 for X, to check your work.
X + X + 11 = 153
2x + 11 = 153
2 (71) + 11 = 153
Therefore, our answers are correct.
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