Jack is twice as old as Lacy. In two years the sum of their ages will be seventy three. How old are they now?
A) Jack is 60; Lacy is 30
B) Jack is 36; Lacy is 18
C) Jack is 46; Lacy is 23
D) Jack is 34; Lacy is 17
E) Jack is 48; Lacy is 24

Question

Quizplus · Accepted Answer

Let's call Jack's age "J" and Lacy's age "L". 
From the first sentence, we know: 
J = 2L 
In two years, their ages will be: 
J + 2 and L + 2 
The problem tells us that the sum of their ages in two years will be 73: 
(J + 2) + (L + 2) = 73 
Simplifying the equation: 
J + L = 69 
Now we can substitute the first equation (J = 2L) into the second equation: 
2L + L = 69 
3L = 69 
L = 23 
So Lacy is currently 23 years old. 
We can use the first equation (J = 2L) to find Jack's age: 
J = 2(23) 
J = 46 
So Jack is currently 46 years old. Therefore, the answer is C.

Jack Is Twice as Old as Lacy