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

Explanation

Temperature of triple point of water on absolute scale A,
`(T_(tr))_(A)=200A`
and its temperature on absolute scale B,
`(T_(tr))_(B)=350B`
But its temperature on kelvin scale is `273.16K`
`:.` value of 1 A in kelvin `=(273.16)/(200)K`
and value of 1 B in kelvin `=(273.16)/(350)K`
`:.(T_(tr))_(A)==(273.16)/(200)T_(!)` and
`(T_(tr))_(B)=(273.16)/(350)T_(B)`
`:.((T_(tr))_(A))/((T_(tr))_(B))=(350)/(200)xx(T_(A))/(T_(B))`
But `(T_(tr))_(A)=(T_(tr))_(B)`
`:.1=(350)/(200)xx(T_(A))/(T_(B))`
`:.(T_(A))/(T_(B))=(200)/(350)`
`:.T_(A)=4/7T_(B)`