your brother jack will be 2 years from being twice as old as your sister jen. the sum of jacks age and three times jens age is 66. how old is jem?
13.6
3÷4
27.75
13.5
To find Jen's age, let's first assign variables to the given information:
Let J = Jen's age.
Let J + 2 = Jack's age in 2 years.
From the first statement, "Your brother Jack will be 2 years from being twice as old as your sister Jen":
(J + 2) = 2(J)
Expanding the equation:
J + 2 = 2J
Rearranging the equation:
2J - J = 2
J = 2
Therefore, Jen is 2 years old.
Now, let's find Jack's age:
(Jack's age) + 3(Jen's age) = 66
Substituting the values:
(J + 2) + 3(2) = 66
J + 2 + 6 = 66
J + 8 = 66
J = 66 - 8
J = 58
Therefore, Jack's age is 58 years old.