Question

Jack is twice as old as Lacy. In three

years, the sum of their ages will equal to 54.
Write the equation and show all steps to
solve.

Answer 1

jack is 32 years old and lacy is 16

Answer 2

Lacy is 16 years old, and Jack is 32 years old.

Explanation:

Lacy's age now is L.

Jack's age now is twice Lacy's age, so Jack's age now is 2L.

In 3 years, Lacy's age will be L + 3, and Jack's age will be 2L + 3.

In 3 years, the sum of their ages will be L + 3 + 2L + 3, and it will equal 54.

L + 3 + 2L + 3 = 54

3L + 6 = 54

3L = 48

L = 16

Lacy is 16 years old.

Jack's age is 2L.

2L = 2(16) = 32

Jack is 32 years old.