Question

Average of 8 numbers is 44. The average of first three numbers is 50 and the average of next two numbers is 52. If the sixth number is 6 and 8 less than seventh and eighth number respectively, then what is the value of eighth number?

• A. 36
• B. 32
• C. 40
• D. 56

Answer 1

Answer:

A. 36

Solution: Detailed solution:- Sum of the 8 numbers = 8 × 44 = 352 Sum of first 3 numbers = 3 × 50 = 150 Sum of next two numbers = 2 × 52 = 104 Let the 6th number be ‘x' ⇒ 7th number = x + 6 ⇒ 8th number = x + 8 Hence, ⇒ 150 + 104 + x + x + 6 + x + 8 = 352 ⇒ 3x = 352 – 268 ⇒ x = 84/3 = 28 ∴ The 8th number = 28 + 8 = 36.