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.

Challenger App

Home/

Questions/

Maths/

Ratio & Proportion

No.1 PSC Learning App

★

1M+ Downloads

Get App

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

Read more in App

Related Questions:

In a village, ratio of men and women is 5 : 3. If women are 40 less than men, then sum of men and women is?

Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 ∶ 1/2 ∶ 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.

The ratio of sprit and water is 2 : 5. If the volume of solution is increased by 50% by adding sprit only. What is the resultant ratio of sprit and water?

Find the fourth proportional to 6, 36, 12.

Investments made by A, B and C in a craft business is Rs.47,000. If A invest Rs.7,000 more than B and B invest Rs.5,000 more than C, then find the amount C gets out of the total profit Rs.4700.