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# Hansel is 7 years older than Gretel. If the product of their ages (in

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Math Expert
Joined: 02 Sep 2009
Posts: 52392
Hansel is 7 years older than Gretel. If the product of their ages (in  [#permalink]

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21 Mar 2017, 08:12
00:00

Difficulty:

25% (medium)

Question Stats:

93% (01:13) correct 7% (00:44) wrong based on 31 sessions

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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

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Joined: 06 Dec 2016
Posts: 248
Re: Hansel is 7 years older than Gretel. If the product of their ages (in  [#permalink]

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21 Mar 2017, 09:13
I'd try process elimination for this one.

If Gretel is 5 years old and Hansel is 7 years older than Gretel then Hansel is 12 years old. 5 times 12 is equal to 60. Therefore, the answer is A
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Re: Hansel is 7 years older than Gretel. If the product of their ages (in  [#permalink]

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21 Mar 2017, 10:14
Bunuel wrote:
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

$$h = g + 7$$

$$g ( g + 7 ) = 60$$

Or, $$g^2 + 7g - 60 = 0$$

Or, $$g^2 + 12g - 5g - 60 = 0$$

Or, $$g ( g + 12 ) - 5 ( g + 12 ) = 0$$

Or, $$( g - 5 )( g + 12 ) = 0$$

Or, $$g = 5$$ & $$g = - 12$$

Thus, Gretel is 5 years old, answer must be (A) 5
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Abhishek....

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Re: Hansel is 7 years older than Gretel. If the product of their ages (in &nbs [#permalink] 21 Mar 2017, 10:14
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