Given, a:b = 2:3 and b:c = 4:5
$$\Rightarrow$$ a:b = 8:12 and b:c = 12:15
$$\Rightarrow$$ a:b:c = 8:12:15
Let a = 8k, b = 12k and c=15k
$$\therefore\ $$a+b : b+c = 8k + 12k : 12k + 15k
= 20k : 27k
= 20 : 27
Hence, the correct answer is Option D
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