If the average (arithmetic mean) of 5 consecutive numbers is 12 , what is the sum if the least and the greatest of the integers?

If the average (arithmetic mean) of 5 consecutive numbers is 12 , what is the sum if the least and the greatest of the integers? Correct Answer 10

Let the consecutive integers be n, (n + 1), (n + 2), (n + 3) and (n + 4) respectively. So,  n + (n + 1) + (n + 2) + (n + 3) + (n + 4) = 12 x 5 or,  5n + 10 = 60 or,  5n = 60 - 10 or,  n = 50 / 5 = 10. So, the least number is 10 and the greatest number is (10 + 4 = 14). Their sum = 10 + 14 = 24.
Bissoy MCQ

Related Questions

The arithmetic mean of the 5 consecutive integers starting with 'p' is 'q'. What is the arithmetic mean of 9 consecutive integers that start with (p+2)?
There are 4 consecutive odd numbers (x1, x2, x3 and x4) and three consecutive even numbers (y1, y2 and y3). The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x1, x2, x3 and x4?
In 2011, the arithmetic mean of the annual incomes of Ramesh and Suresh was Rs. 3800. The arithmetic mean of the annual incomes of Suresh and Pratap was Rs. 4800, and the arithmetic mean of the annual incomes of Pratap and Ramesh was Rs. 5800. What is the arithmetic mean of the incomes of the three?
Sum of 4 consecutive even numbers is greater than three consecutive odd numbers by 81 . If the sum of the least odd and even numbers is 59 then find the sum of largest of odd and even numbers is 59 then find the sum of largest odd and even numbers.
Sum of 4 consecutive even numbers is greater than consecutive odd numbers by 81. If the sum of the least odd and even numbers is 59 then find the sum of largest odd and even numbers.
If the average of 5 consecutive integers is 12 , what is the sum of the least and the greatest of the integers?
If the average of 5 consecutive integers is 13 then what is the sum of the least and the greatest of the 5 integers?
Sum of 4 consecutive even number is greater than three consecutive odd numbers by 81.If the sum of the least odd and even numbers is 59 then find the sum of largest odd and even numbers
In 2007, the arithmetic mean of the annual incomes of Rahim and Karim was Taka 3800 . The arithmetic mean of the annual incomes of Karim and Ripon was Ripon and Rahim was TaKa5800. What is the arithmetic mean of the incomes of the three ?
If the average of seven consecutive integers is k+2, then the product of the greatest and least integers is____