Question 78

$$a : b :: 2 : 3; b : c :: 4 : 5 \Rightarrow a + b : b + c =$$

Solution

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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