Question

The ratio of four numbers is 1/3 : 1/6 : 1/2 : 1/15 and if the difference between the sum of two larger together and two smaller together is 72. Find the greatest number.

• A. 45
• B. 60
• C. 70
• D. 75

Answer 1

Answer:

B. 60

1/3 : 1/6 : 1/2 : 1/15 Multiplying all by 30 (LCM of the denominators) ⇒ Ratio of the numbers = 10 : 5 : 15 : 2 (10x + 15x) - (5x + 2x) = 72 ⇒ 18x = 72 ⇒ x = 4 The greatest number = 15x = 60