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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.

A45

B60

C70

D75

Answer:

B. 60

Read Explanation:

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


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