SOLUTION: Jenna’s mother is 3 times as old as Jenna. In 3 years, the sum of their ages will be 62. If Jenna’s current age is represented by x, write an expression to represent the cur

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Question 1171391: Jenna’s mother is 3 times as old as Jenna. In 3 years, the sum of their ages will be 62.
If Jenna’s current age is represented by x, write an expression to represent the current age of Jenna’s mother.
Write an expression to represent Jenna’s age in 3 years.
Write an expression to represent Jenna’s mother’s age in 3 years.
Determine Jenna’s current age.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Mother, 3x
Jenna, x
3x%2B3%2Bx%2B3=62
-
4x=62-6
4x=56
x=14------------Jenna, today


Mother today, 3x, is highlight%2842%29.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Jenna’s mother is 3 times as old as Jenna. In 3 years, the sum of their ages will be 62.



(a)  If Jenna’s current age is represented by x, write an expression to represent the current age of Jenna’s mother. 

     current age of Jenna’s mother is 3x years.



(b)  Write an expression to represent Jenna’s age in 3 years.

     Jenna’s age in 3 years is  (x+3) years.



(c)  Write an expression to represent Jenna’s mother’s age in 3 years.

     Jenna’s mother’s age in 3 years is  (3x+3) years.



(d)  Determine Jenna’s current age.

     Based on give conditions, we write the equation for total ages

           (x+3) + (3x+3) = 62.


     Then we simplify it and find x

            4x + 6 = 62

            4x     = 62 - 6

            4x     = 56

             x     = 56/4 = 14.


ANSWER.  Jenna is 14 years old.

Solved, explained, answered and completed.