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# If m + p = 26, what is the value of mp ? (1) The ratio of m : p is 6 :

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Math Expert
Joined: 02 Sep 2009
Posts: 43361
If m + p = 26, what is the value of mp ? (1) The ratio of m : p is 6 : [#permalink]

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28 Dec 2017, 20:57
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If m + p = 26, what is the value of mp ?

(1) The ratio of m : p is 6 : 7.
(2) m and p are consecutive even integers.
[Reveal] Spoiler: OA

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Joined: 24 Nov 2016
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Re: If m + p = 26, what is the value of mp ? (1) The ratio of m : p is 6 : [#permalink]

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29 Dec 2017, 02:41
Bunuel wrote:
If m + p = 26, what is the value of mp ?

(1) The ratio of m : p is 6 : 7.
(2) m and p are consecutive even integers.

(1) The ratio of m : p is 6 : 7. So, $$\frac{m}{p}=\frac{6x}{7x}$$ (where x is the multiplier), $$6x+7x=26$$, $$x=2$$, $$m=6x=12$$ and $$p=7x=14$$; then $$mp=12*14$$; sufficient.

(2) m and p are consecutive even integers. So, $$(n+2)+(n+4)=26$$, $$2n=20$$, $$n=10$$, $$m=(n+2)=12$$ and $$p=(n+4)=14$$; then $$mp=12*14$$; sufficient.

Re: If m + p = 26, what is the value of mp ? (1) The ratio of m : p is 6 :   [#permalink] 29 Dec 2017, 02:41
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