(solved)Question 13 SSC-CGL 2020 March 3 Shift 2

Average of 5 consecutive even numbers is X. What will be the average if next 5 consecutive even numbers are also added?
(Rev. 31-Oct-2024)

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Question 13
SSC-CGL 2020 Mar 3 Shift 2

Average of 5 consecutive even numbers is X. What will be the average if next 5 consecutive even numbers are also added?

Solution in Short

Average of 5 consecutive even numbers is the middle number. So the middle number is X. When next 5 even are added, there will be two middle numbers: X + 4 and X + 6, whose average is X + 5 answer!

Solution in Detail

Average given = X\displaystyle X

sum=5X\displaystyle \therefore \text{sum} = 5X

Next five evens are obtained by adding 10\displaystyle 10 to each even. Hence the sum of newly added evens is 5X+50\displaystyle 5X + 50

\displaystyle \therefore Average =5X+(5X+50)10\displaystyle = \frac{5X + (5X + 50)}{10}

=X+5Ans\displaystyle = X + 5\:\underline{Ans}

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