In an increasing sequence of 5 consecutive even integers, the sum of

Question

In an increasing sequence of  5 consecutive even integers , the sum of the second, third, and fourth integer
is 132. What is the sum of the first and last integers?

A.84
B.86
C.88
D.90
E.92

Bunuel · Answer

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KrishnakumarKA1 · Answer

let the number be a-2, a-1, a, a+1, a+2
according to the question, a -1 +a +a +1 = 132
or 3a = 132
or a = 44
therefore first integer +last integer = a-2 +a+2 = 2a = 2*44 = 88

Option C

sehgalnamrata87 · Answer

Let the 5 consecutive even numbers be x, x+2, x+4, x+6, x+8

Given: x+2+x+4+x+6 = 132
=> 3x+12 = 132
=> x = 40

Since x = 40; x+8 = 48

x + (x+8) = 40+48 = 88 (C)

EMPOWERgmatRichC · Answer

Hi All,

This question can be solved with the Average Formula...

We're told that the sequence is 5 CONSECUTIVE EVEN integers and the sum of the 2nd, 3rd and 4th is 132. Since the numbers are CONSECUTIVE, the "middle" one will be the AVERAGE of the 2nd, 3rd and 4th.

Average = Sum/Number of terms = 132/3 = 44

Thus, since the 2nd, 3rd and 4th terms are 42, 44 and 46 respectively. By extension, the sum of the 1st and 5th terms is: 40 + 48 = 88

Final Answer:  C

GMAT assassins aren't born, they're made,
Rich

gracie · Answer

132/3=44=median
44-4=40
44+4=48
40+48=88
C

PIIIMA · Answer

let the numbers be a-2d,a-d,a,a+d,a+2d

sum of 2nd,3rd and 4th will be a-d+a+a+d=3a = 132 --> a=44

since the numbers are consecutive even integers d should be 2, so the numbers are 40,42,44,46,48

Answer C (48)

Abhishek009 · Answer

Let the numbers be " a , a +1 , a + 2 , a + 3 & a +4 "

Now,  ( a + 1 ) + ( a + 2 ) + ( a + 3 ) = 132

Or,  3a + 6 = 132

Or,  3a = 126

Or,  a = 42

So, Sum of the first and last Integer must be 42 + 46 = 90, the answer must be (D)

JeffTargetTestPrep · Answer

Letting x denote the smallest of these even consecutive integers, we can create the equation:

x + 2 + x + 4 + x + 6 = 132

3x + 12 = 132

3x = 120

x = 40

So the sum of the first and last integers is 40 + (40 + 8) = 40 + 48 = 88.

Answer: C

bumpbot · Answer

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In an increasing sequence of 5 consecutive even integers, the sum of

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