If 2x = 7y = 14z, then find the value of z in terms of x and y.
The correct choice is: “xy/(x + y)” Let 2x = 7y = 14z = k. Then 2 = k1/x, 7 = k1/y and 14 = k1/z. Since 14 = 2 × 7, k1/z = k1/x × k1/y = k1/x + 1/y, so 1/z = 1/x + 1/y = (x…
Choose your answer
If 2x = 7y = 14z, then find the value of z in terms of x and y.
Answer and explanation
Correct answer B
The correct choice is: “xy/(x + y)”
Let 2x = 7y = 14z = k. Then 2 = k1/x, 7 = k1/y and 14 = k1/z.
Since 14 = 2 × 7, k1/z = k1/x × k1/y = k1/x + 1/y, so 1/z = 1/x + 1/y = (x + y)/(xy).
Hence z = xy/(x + y).
Practice for these exams
-
AILET UG