the mean temperature from 19th September to 21st September was 24-degree Celcius and from 20th September to 22nd September was 20-degree Celcius. If the temperature on 22nd September was 4/7th of the temperature on 19th September, what was the temperature on 22nd September?
Answers
Answer:
the mean temperature from 19th September to 21st September was 24-degree Celcius and from 20th September to 22nd September was 20-degree Celcius. If the temperature on 22nd September was 4/7th of the temperature on 19th September, what was the temperature on 22nd September
Step-by-step explanation:
Answer:
Step-by-step explanation:
let the temperatures from 19th to 22nd September be x19 , x20, x21 and x22 respectively .
So according to condition 1 : ( x19 + x20 +x21 ) / 3 = 24;
=> x19 + x20 + x21 = 72 ;
or x20 + x21 = 72 - x19 - (1)
according to condition 2 : (x20 + x21 +x22 ) /3 = 20 ;
therefore , x20 +x21 +x22 = 60 ; -(2)
Also , x22 = 4/7 * x19 ; -(3)
putting the value of x22 and equation (1) in (2) ; we get ;
72 -x19 + (4/7)x19 = 60
504 -7x19 + 4x19 = 420
-3x19 = - 84
x19 = 28 .
put x19 in (3) , we get
x22 = 4 * 28 / 7 ;
x22= 16.