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# What is the average of all integers from 1 to 100 that end in 2?

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Re: What is the average of all integers from 1 to 100 that end in 2? [#permalink]
Bunuel wrote:
What is the average of all integers from 1 to 100 that end in 2?

(A) 46

(B) 47

(C) 48

(D) 50

(E) None of these

IMO B
number that lie between 1-100 and ends with 2 are 2,12,22.....so on
there are 10 number so total =n*(a+l)/2(n= number of terms, a=1st term, and l= last term)
10*(2+92)/2 =5*94
average = 5*94/10=47
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What is the average of all integers from 1 to 100 that end in 2? [#permalink]
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Bunuel wrote:
What is the average of all integers from 1 to 100 that end in 2?

(A) 46

(B) 47

(C) 48

(D) 50

(E) None of these

Figure out only the lowest and highest terms: 2 and 92

In a set of evenly spaced integers, the average is
$$\frac{High + Low}{2}$$

$$\frac{92+2}{2}=\frac{94}{2}=47$$

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Re: What is the average of all integers from 1 to 100 that end in 2? [#permalink]
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Re: What is the average of all integers from 1 to 100 that end in 2? [#permalink]
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