Question

If x:y=5:6 then find the value of 5x-2y:6x+2y​

Answer 1

Explanation:

x : y = 5 : 6

`\therefore`let x = 5k & y = 6k

We need to find: 5x-2y:6x+2y

`\therefore \: (5x - 2y)/(6x + 2y) \\ \\ = (5 * 5k - 2 * 6k)/(6 * 5k + 2 * 6k) \\ \\ = (25k - 12 k)/(30k + 12k) \\ \\ = (13 k)/(42k) \\ \\ =(13 )/(42) \\ \\ = 13 : 42 \\ \\ \purple{ \boxed{\therefore \: (5x - 2y) :({6x + 2y}) = 13 : 42}}`