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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.


Joe went on a diet 6 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?

(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5



Joe lost his weigh 24 pounds during 6 months. That means that he lost 4 pounds per month. He should lose more 18 pounds to be 180 pounds.

So it would take 18/4=4.5 months.

The answer is, therefore, (D).
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If he lost 24 pounds in 6 months,
To lose 18 pounds, Joe needs\(= \frac{18*6}{24}= \frac{18}{4} = 4.5\)
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Weight loss: 222 - 198 = 24 pounds

Time in months: 6

Rate of loss: \(\frac{24 }{ 6} = 4\) pounds per month

Current weight required: 180 [198 - 180 = 18 pounds loss]

For 18 pounds loss, months needed: \(\frac{18 }{ 4} = 4.5\)

Answer D
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­One question - 

Why this is not making sense with AP logic = 

180=198+(n-1)*(-4)
n=5.5

What I am missing?
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