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## p,q,r,s and t are five consecutive even integers

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bhumika.k.shah Legendary Member
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#### p,q,r,s and t are five consecutive even integers

Tue Feb 09, 2010 9:47 am
Hi , i needed to know different approaches to solve this problem. Since i couldnt find it posted previously on btg i thought of posting it as a new topic.

Though i got OGs explanation i wanted to know various approaches it can be solved in, If any .

p q r s t

93. On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these fi ve integers?

(1) q + s = 24
(2) The average (arithmetic mean) of q and r is 11.

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thephoenix Legendary Member
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Tue Feb 09, 2010 10:27 am
we know that
q=p+2
r=p+4,s=p+6,t=p+g8

we are given one eqn and we need to know one variable in order to find the avg

1)hence one eqn---one variable is suff

2) same one eqn one variable...suff

another appraoch
q+s=p+2+p+6=24 solving p=8
series=8,10,12,14,16 avg=12
suff

q+r=q+q+2=11*2--->q=10

therefore ser=8,10,12,14,16
avg=12
suff

outreach Legendary Member
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Tue Feb 09, 2010 10:16 am
a)
q+s=24
now p, q, r, s, and t are five consecutive even integers
q=10 and s=14 satisfies the requirement

sufficient

b)
(q+r)/2=11
q+r=22
now p, q, r, s, and t are five consecutive even integers
q=10 and r=12 satisfies the requirement

sufficient

Thanked by: Gmatprep13

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