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Let a,b,c,d,e,f,ga, b, c, d, e, f, g be seven consecutive even numbers and j,k,l,m,nj, k, l, m, n be five consecutive odd numbers. What is the average of all numbers?

Solution

✅ Correct Option: 2

When numbers are equally spaced, their average is simply the middle number.

GroupHow manyMiddle termSum
Even numbers aa to gg7dd7d7d
Odd numbers jj to nn5ll5l5l

There are 7+5=127+5=12 numbers in all.

Average=7d+5l12=5l+7d12\text{Average}=\dfrac{7d+5l}{12}=\dfrac{5l+7d}{12}

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