Out of three given numbers, the first number is twice the second and thrice the third. If the average of the three numbers is 154, what is the difference between the first and the third number?

Out of three given numbers, the first number is twice the second and thrice the third. If the average of the three numbers is 154, what is the difference between the first and the third number?

Explanation

Let the first number be = 6xSecond number = 3xand the third number = 2xAccording to the question 6x + 3x + 2x = 154 × 3or 11x = 154 × 3Required difference = 6x – 2x = 4x = 4 × 42 = 168