If (2a + b)/(a + 4b) = 1, then what is the value of (a + b)/(a - b)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 2.
Calculations:
(2a + b)/(a + 4b) = 1
⇒ 2a + b = a + 4b
⇒ 2a - a = 4b - b
⇒ a = 3b
⇒ a/b = 3
Then,
⇒ (a + b)/(a - b) = [b(a/b + 1)]/[b(a/b - 1)]
⇒ (3 + 1)/(3 - 1) = 2