High School

David's mass is 5 kg less than John's, who is in turn 8 kg lighter than Paul. If their total mass is 197 kg, how heavy is each person?

Answer :

Answer:

Paul is 70 kg, John is 62 kg and David is 65 kg.

Step-by-step explanation:

Let x the mass for each person.

Paul = x

John is lighter than Paul, so John = x-8

David's mass is 5 kg less than John's, so David = x-5

Solution:

Make an equation.

x + (x-8) + (x-5) = 197

3x -13 = 197

3x = 197 + 13

3x= 210, then divide both side by 3, to get 70.

Do substitution to get a correct answer.

70+62+65= 197

197= 197

ok so we know Davids is 5 less than johns x-5
Johns is 8 lighter than paul x-8
combine x-5 +x-8 = 197
2x -13 = 197
2x = 210
x = 105

lets check it. (105-5 )+(105 -8) = 197