Answer:
[tex]-18^{\circ}C,[/tex] [tex]-12^{\circ}C[/tex]
Step-by-step explanation:
Let the first measurement be x°C. The second measurement is [tex]\dfrac{2}{3}[/tex] of the first one, then the second measurement is [tex]\dfrac{2}{3}x^{\circ}C.[/tex]
If the sum of the measurements is -30°C, then
[tex]x+\dfrac{2}{3}x=-30.[/tex]
Multiple the whole equation by 3:
[tex]3x+2x=-90,\\ \\5x=-90,\\ \\x=-18^{\circ}C.[/tex]
Another measurement is
[tex]\dfrac{2}{3}\cdot (-18^{\circ})=-12^{\circ}C.[/tex]
