Out of three numbers, the ratio of the first and the second numbers is 3: 4, and the ratio of the second and the third numbers is 5: 6. If the difference between the first and the third number is 1125, find the average of the second and third numbers.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2750.
Let the nos be a,b, and c.
The ratio of the first and the second numbers = a: b = 3x: 4x
The ratio of the second and the third numbers = b: c = 5x: 6x
Ratio of a:b:c = 15x:20x:24x
According to the question;
The difference between the first and the third number is 1125.
So, 24x- 15x = 1125
x = 125
So, the numbers are:
a = 15x =1875
b = 20x = 2500
c = 24x = 3000
Thus, the average of the second and third numbers = (2500 + 3000) ÷ 2= 2750