Question

Of the three numbers, the first number is two-thirds of the second number. The second number is one-fifth of the third number. The average of these three numbers is 35. Find the largest number?

• A. 84.25
• B. 77.50
• C. 72.25
• D. 78.75

Answer 1

Answer:

D. 78.75

Solution: GIVEN: Of the three numbers, the first number is two-thirds of the second number. The second number is one-fifth of the third number. The average of these three numbers is 35. CONCEPT: Basic average concept. FORMULA USED: Average of n numbers = Sum of n numbers/n CALCULATION: Suppose the number are x, y and z respectively. So, 2y/3 = x And y = z/5 Now, x + y + z = 35 × 3 =105 (2/3)y + y + 5y = 105 y = 15.75 So, z = 5y = 78.75 x = 2y/3 = 10.5 So, Largest number = 78.75