# In January, the average high temperature for Calgary is 9.9 °C greater than Winnipeg’s average high temperature. The sum of these two temperatures is

In January, the average high temperature for Calgary is $$9.9 ^{\circ}C$$ greater than Winnipeg&rsquo;s average high temperature. The sum of these two temperatures is $$-15.5 ^{\circ}C$$. What is the average high temperature in January for each of these two cities?

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Luvottoq

c=calgary

w=winnipeg
The two equations would be: $$c= w+9.9$$ (as the weather in Calgary is 9.9 degrees warmer than Winnipeg) and $$-15.5= w+c$$ (as the sum of the two temperatures is -15.5 degrees)

We already have the C value ($$C= w+9.9$$) so we can plug that into the other equation, as $$-15.5= w+ (w+9.9)$$, which would be: $$-15.5=2w+9.9$$ simplified,

then $$-25.4= 2w$$ and finally $$w=-12.7$$.

Putting that value into the other equation as $$-15.5= -12.7+ c,\ -15.5 + 12.7= -2.8,$$ therefore $$c= 2.8$$

Answer: $$w= -12.7 c=-2.8$$