The temperature at which the Celsius and Fahrenheit thermometers agree (to give the same numerical value) is:

On a new scale of temperature, which is linear and called the $\text{W}$ scale, the freezing and boiling points of water are $39^\circ ~\text{W}$ and $239^\circ ~\text{W}$ respectively. What will be the temperature on the new scale corresponding to a temperature of $39^\circ ~\text{C}$ on the Celsius scale?
1. $78^\circ ~\text{W}$
2. $117^\circ ~\text{W}$
3. $200^\circ ~\text{W}$
4. $139^\circ ~\text{W}$

The ice-point reading on a thermometer scale is found to be $20^\circ,$ while the steam point is found to be $70^\circ.$ When this thermometer reads $100^\circ ,$ the actual temperature is:
1. $80^\circ\text{C}$
2. $130^\circ\text{C}$
3. $160^\circ\text{C}$
4. $200^\circ\text{C}$