Question

On an X temperature scale, water freezes at -125°X and boils at 375°X. On a Y temperature scale, water freezes at -70°Y and boils at -30°Y. The value of temperature on X scale is ______ on which value of temperature on y Scale becomes 50° Y.

पर्याय

• 1325

• 1375

• 1350

• 1380

Answer 1

On an X temperature scale, water freezes at -125°X and boils at 375°X. On a Y temperature scale, water freezes at -70°Y and boils at -30°Y. The value of temperature on X scale is 1375 on which value of temperature on y Scale becomes 50° Y.

Explanation:

Relation between temperature on the unknown X scale to unknown scale Y,

(X – T₂)/(T₂ – T₁) = (Y – T₃)/(T₄ – T₃)

Here, T₁ = 375X

T₂ = – 125X

T₃ = – 70Y

T₄ = – 30Y

Y = 50

X = ?

Now, substituting the values in the equation

`("X"-(-125))/500 = ("Y"-(-70))/40`

if     Y = 50 

X = 1375°X