Two absolute scales `A` and `B` have triple points of water defined to be `200A` and `350B`. What is the relation between `T_(A)` and `T_(B)`?

Explanation

Given that, the triple point of water in scales A and B is
T= 200 A = 350 B
We know that, T = 273.15 K
Now, units of A and B can be written as:
`A = ( (273.15)/(200) )K ` and `B = ( (273.15)/(350) )K`
If we observe temperature is Kelvin scale, then
`(T_A)_("in kelvins") = T_A ((273.15)/(200) ) K`
` (T_B)_("in kelvins") = T_B ( (273.15)/(350 ) ) K`
Now, `(T_A)_("in kelvins") = (T_B)_("in kelvins")`
`T_A = ( (273.15)/(200) ) K = T_B ( (273.15)/(350) ) K`
` therefore T_A (200)/(350) T_B = 4/7 T_B`