Two absolute scales A and B have triple points of water defined to...

Given, triple point of water on scale A = 200 A
Triple point of water on scale B = 350 B
We know that triple point of water on absolute scale = 273.16 K
∴ 200 A = 350 B = 273.16 K
∴ $1 \text{A} = \dfrac{2 7 3 \text{.} 1 6}{2 0 0} \text{K}$
and $1 \text{B} = \dfrac{2 7 3 \text{.} 1 6}{3 5 0} \text{K}$
If T_A and T_B are the triple point of water on two scales A and B, then
$\dfrac{2 7 3 \text{.} 1 6}{2 0 0} {\text{T}}_{\text{A}} = \dfrac{2 7 3 \text{.} 1 6}{3 5 0} {\text{T}}_{\text{B}}$
$\dfrac{{\text{T}}_{\text{A}}}{{\text{T}}_{\text{B}}} = \dfrac{2 0 0}{3 5 0} = \dfrac{4}{7} \text{or} {\text{T}}_{\text{A}} = \dfrac{4}{7} {\text{T}}_{\text{B}}$.