Quantitative Aptitude Ques 2430

Question: If $ A+C=B, $ then $ tan,Atan,Btan,C $ is equal to

Options:

A) $ \tan ,B+\tan ,A+\tan ,C $

B) $ \tan ,B-\tan ,A+\tan ,C $

C) $ \tan ,B-\tan ,A-\tan ,C $

D) $ \tan ,B+\tan ,A-\tan ,C $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the average age of 8 men be x yr.

$ \therefore $ Total age = 8x According to the question, $ \frac{8x-(21+23)+(Age,of,two,new,men)}{8}=x+2 $

$ \Rightarrow $ $ 8x-44+(\text{Age of two new men})=8x+16 $

$ \Rightarrow $ $ Ageoftwonewmen=16+44=60yr $

$ \therefore $ Average age $ =\frac{60}{2}=30,yr $

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