Question: Four year ago, Shyam’s age was 3/4 times of that of Ram. Four year hence, Shyam’s age will be 5/6 times that of Ram. What is the present age of Shyam?
Options:
A) 15 yr
B) 20 yr
C) 16 yr
D) 24 yr
E) 8 yr
Show Answer
Answer:
Correct Answer: C
Solution:
- $ 4yr $ ago, let Ram’s age $ =xyr $ and
Shyam’s age $ =\frac{3}{4}xyr $
Now, Ram’s present age $ (x+4)yr $
and Shyam’s present age $ =( \frac{3}{4}x+4 )yr $
According to the question,
$ \frac{5}{6}(x+4+4)=( \frac{3}{4}x+4+4 ) $
$ \Rightarrow $ $ 4(5x+40)=6(3x+32) $
$ \Rightarrow $ $ 20x+160=18x+192 $
$ \Rightarrow $ $ 2x=32 $
$ \therefore $ $ x=16 $
Hence, present age of Shyam $ =\frac{3}{4}\times 16+4=16yr $