Question

- The sum of three numbers is 123. If the ratio between first and
second numbers is 2:5 and that of between second and third is 3:4,
then find the difference between second and the third number.(find answer step by step )
A. 12
B. 14
C. 15
D. 17​

Answer 1

Step-by-step explanation:

Let the three numbers be A,B and C

A:B=2:5 or

A:B=6:15

B:C=3:4 or

B:C=15:20

so A:B:C=6:15:20

Let A=6x, B=15x and C=20x

A+B+C=6x+15x+20x

=41x

Hence, 41x=123

x=123/41

x=3

Hence, A=18,B=45 and C=60

The difference between the second and third number is 5x or 15

Hope it will help you to understand!