There are two mew systems developed for temperature A and B. if A =14 the B=36, when A = 133 then B = 87. Find when both the temperature becomes equal.

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G.Chinnappa

  • Jan 31st, 2006
 

We know that C/100=F-32/180 when C ranges from 0 to 100

C diff= 100

F ranges from 32 to 212

F diff =180

so, here A rabges from 14 to 133 A diff=119

and F ranges from 36 to 87 B diff=51

Then equation becomes A-14/119=B-36/51

substitute A=B in the above equation we get

A=B=52.5

This is my answer.

If we have better answer plz let me know

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rajvissa

  • Feb 17th, 2006
 

Hi there.. i have another answer for this...

9/5c=f-32 is the formula for converting Celsius to Fahrenheit..

when c=f is what the question.. so place x in place of c and f

9x=5(x-32)

-4x=-32*5

x=-40.. hence the answer is -40

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soorejmg

  • Jun 12th, 2006
 

I think chinnapa is correct

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agavikraman

  • Jun 24th, 2007
 

They say just system. It does not mean any degree Celsius or Fahrenheit.

You must consider them as 2 straight lines

y=ax+b

A=y,

B=x14

=a*36+b,

133=a*87+b

Solve these eqa

51a=119a

=2.333,

b= -69.98

Now eqation is y=2.333*x-69.98
By trial and error

Put x=52.5

You will get y

also equal to 52.5025

approx 52.5

That is the answer needed

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