The weight of Henry would be 38 kg.
Step-by-step explanation:
The total weight of Peter (P), David (D) and Henry (H) is 123 kg. Peter is 15 kg heavier than David. David is 3 kg lighter than Henry.
We have to find the weight of Henry (H).
Given that,
P +D + H = 123 kg
also
P = D + 15 (as Peter is 15 kg heavier than David)
D = H - 3 (as David is 3 kg lighter than Hanrey)
it can also be written as
H = D + 3
By putting the values of P and D in main equation, we get
(D + 15) + D + (D+3) = 123
3D + 18 = 123
3D = 123 - 18
3D = 105
or
D = 35
So, the weight of Henry would be (D+3) => (35+3) => 38 kg.
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