High School

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

Answer :

Final answer:

David's mass is approximately 58kg, Sucha's mass is approximately 63kg, and Paul's mass is approximately 71kg.

Explanation:

Let's solve this problem step by step:

Let's assume David's mass as 'D'.

Sucha's mass is 5kg more than David's mass, so Sucha's mass can be represented as 'D + 5'.

Paul's mass is 8kg more than Sucha's mass, so Paul's mass can be represented as '(D + 5) + 8' or 'D + 13'.

The total mass of all three people is 197kg. So, we can write the equation as 'D + (D + 5) + (D + 13) = 197'.

Now, let's solve this equation to find the value of D:

3D + 23 = 197

3D = 197 - 23

3D = 174

D = 174 / 3

D ≈ 58kg

So, David's mass is approximately 58kg.

Sucha's mass = D + 5 ≈ 58 + 5 ≈ 63kg

Paul's mass = D + 13 ≈ 58 + 13 ≈ 71kg

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