If (4x + y)/(x + 4y) = 2/3, then find the value of (x + 4y)/(4x + y).
If (4x + y)/(x + 4y) = 2/3, then find the value of (x + 4y)/(4x + y).
Answer/Solution
3/2
Steps/Work
Explanation:
Given, (4x + y)/(x + 4y) = 2/3
=> 3(4x + y) = 2(x + 4y)
=> 2x = y
.: (x + 4y)/(4x + y) = x + 4(2x)/(4x + 2x) = 9x/6x = 3/2
Answer: Option C
Given, (4x + y)/(x + 4y) = 2/3
=> 3(4x + y) = 2(x + 4y)
=> 2x = y
.: (x + 4y)/(4x + y) = x + 4(2x)/(4x + 2x) = 9x/6x = 3/2
Answer: Option C