Question

If 2a+b/a+4b=3, then find the value of a+b/a+2b

Answer 1

10/9

(2a+b)/(a+4b) = 3

=> 2a+b = 3a + 12b

=> -a = 11b

=> a = -11b

therefore,

(a+b)/(a+2b)

= (-11b+b)/(-11b+2b)

= -10b/(-9b)

= 10/9

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Answer 2

Answer:10/9

Step-by-step explanation:

(2a+b)/(a+4b) = 3

= 2a+b = 3a + 12b

= -a = 11b

= a = -11b

Hence,

(a+b)/(a+2b)

= (-11b+b)/(-11b+2b)

= -10b/(-9b)

= 10/9