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