If x/5 = y/6 = z/2, then find the value of (x + y - z)/z?
2025
If x/5 = y/6 = z/2, then find the value of (x + y - z)/z?
- A.
9/2
- B.
2/9
- C.
-9/2
- D.
2/5
Attempted by 2084 students.
Show answer & explanation
Correct answer: A
Given:
x/5 = y/6 = z/2
Calculation:
x/5 = y/6 = z/2 = k (let)
⇒ x = 5k, y = 6k and z = 2k
So, x + y - z = 5k + 6k - 2k
⇒ x + y - z = 9k
So, (x + y - z)/z = 9k/2k
⇒ (x + y - z)/z = 9/2
∴ The value of (x + y - z)/z is 9/2.