Question

the total mass of Faizal, john, and Raju is 154.2 kg. John is 10.48 kg heavier than Rsju and 9.23 kg heavier than Faizal. find Raju's mass(please show working)

Answer 1

Answer:

Step-by-step explanation:

Let mass of faizal , john and raju be f , j , r

f+j+r=154.2 ------------(1)

j = r+10.48 or r = j-10.48 ----------(2)

j=f+9.23 or f = j -9.23 -------------(3)

Substituting the value of f and r in (1)

j-9.23+ j + j-10.48 =154.2

3j = 154.2 + 9.23 + 10.48    

3j = 173.91

j= 57.97 kg

r = j -10.48

=57.97-10.48

= 47.49  kg

Answer 2

Answer:

Given - Total mass of Faizal,John and Raju is 154.2kg or

Mass of Faizal+ John + Raju = 154.2 kg

Let x be Faizal's mass

And let (x+9.23) be John's mass

=> Raju's mass = (x +9.23) -10.48kg

=> x + (x + 9.23) + [(x +9.23-10.48 ] =154.2

=>2x + 9.23 + x +9.23-10.48 = 154.2

=> 3x + 9.23 +9.23-10.48 =154.2

=> 3x +18.46-10 48 = 154.2

=> 3x + 7.98= 154.2

=> 3x = 154.2-7.98

=> 3x = 146.22

=> x = 146.22/3

=> x= 48.74

Therefore Faizal's mass = 48.74kg

and John's mass = 48.74+9.23 =57.97kg

and Raju's mass = 57.97 -10.48 = 47.49

Therefore Raju's mass is = 47.49 kg