Question

5) The sum of three numbers is 300. If the ratio between first and second be 5:9 and that between second and third be 9:11, find the second number.

Answer 1

Answer:

the second number Will 108

step-by-step explanation

let ..

first number-x

second number-y

third number-z

sum of three number is 300

x+y+z=300_________(1)

ratio between first and second

x:y=5:9

x/y=5/9

9x=5y

x=5y/9

ratio between second and third

y:z=9:11

y/z=9/11

11y=9z

z=11y/9

put the value of x and z in equation (1).

5y/9+y/1+11y/9=300

5y+9y+11y/9=300

25y/9=300

25y=2700

y=2700/25

y=108

I hope my answer will helpful for you❤.