There are 2 scales of temp A & B. It was given A 14 to 133, B 36 to 87. Find the temp when temp of A is equal to temp of B

• Actually, when corresponding ranges of two scales of temperatures are given, then, the formula to relate the two scales are given by, (A-l1)/(u1-l1) = (B-l2)/(u2-l2), where l1 and u1 are lower and upper limits of scale A; and l2 and u2 are lower and upper limits of scale B; and when it is l1 in scale A, it is l2 in scale B; and when it is u1 in scale A, it is u2 in scale B. Here, l1=14, u1=133, l2=36, u2=87. Substituting, we get (A-14)/(133-14)=(B-36)/(87-36). Or, 3(A-14)=7(B-36). When temperature readings are equal, i.e., A=B=x, 3(x-14)=7(x-36), 4x=210, x=52.5
• 14 years agoHelpfull: Yes(5) No(0)
• 52.5
• 14 years agoHelpfull: Yes(0) No(0)