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The present ages of Vikas and Sujit are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively.

What is Sujit’s present age in years ?

a

6

b

24

c

18

d

27

Answer : Option B
Explanation :

According to question,

(5x+3)(4x+3)=119\frac{(5 x+3)}{(4 x+3)}=\frac{11}{9}

45x+27=44x+33\Rightarrow 45 x+27=44 x+33

45x44x=3327\Rightarrow 45 x-44 x=33-27

x=6\Rightarrow x=6

∴ Present age of Sujit = 4x years

= 4 × 6 = 24 years

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