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We are trying to solve for L-C.

We know that L-7 = 3(C-7), and L+2 = 2(C+2).
Solving for these two equations, we get C=16 and L=34.

L-C is therefore 18 (option C).
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1)X-7 =3(y-7)
X=3y-14
2) X +2=2(y+2)
X=2y+2
3y-14=2y+2
Y=16
X=34
Hence difference =18
C

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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Bunuel
Seven years ago, Lisa was three times as old as Christine. In two years, Lisa will be twice as old as Christine. Lisa is how many years older than Christine?

A. 9
B. 14
C. 18
D. 21
E. 27

We can let Lisa’s current age = L and Christine’s current age = C.

Seven years ago, Lisa was (L - 7) years old and Christine was (C - 7) years old, and Lisa was three times as old as Christine:

L - 7 = 3(C - 7)

L - 7 = 3C - 21

L = 3C - 14

In two years, Lisa will be (L + 2) years old and Christine will be (C + 2) years old, and Lisa will be twice as old as Christine:

L + 2 = 2(C + 2)

L + 2 = 2C + 4

L = 2C + 2

Equating our two equations, we have:

3C - 14 = 2C + 2

C = 16

Since C = 16, L = 2(16) + 2 = 34.

Thus, Lisa is 34 - 16 = 18 years older than Christine.

Answer: C
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Hello from the GMAT Club BumpBot!

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