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Bunuel
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Bunuel
Hansel is 7 years older than Gretel. If the product of their ages (in years) is 60, then how old is Gretel ?

A. 5
B. 6
C. 7
D. 12
E. 14

As the two posters above me have shown, the fastest approach here is to test the answer choices.
If you didn't spot that approach, here is an algebraic solution.

Let G = Gretel's age
So, G + 7 = Hansel's age

Since the product of their ages is 60, we can write: (G)(G + 7) = 60
Expand: G² + 7G = 60
Since we have a quadratic equation, we'll set it equal to zero by subtracting 60 from both sides: G² + 7G - 60 = 0
Factor to get: (G + 12)(G - 5) = 0
So, either G = -12 or G = 5

Since Gretel's age can't be negative, we know that battle must be 5 years old

Answer: A
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Hansel is 7 years older than Gretel. If the product of their ages (in years) is 60, then how old is Gretel ?

A. 5
B. 6
C. 7
D. 12
E. 14

IMO A
x*(x+7) = 60
x=5 , thus Gretel is 5 years old.
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