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

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New post 28 Dec 2017, 20:57
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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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New post 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.

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

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