A) 35 years
B) 40 years
C) 37 years
D) 30 years
Correct Answer: A
Solution :
[a] Let the present age of man be x years and that of his son be y years. |
According to the question. |
\[x+5=4(y+5)\,\,\,\Rightarrow \,\,\,x-4y-15=0\] ...(1) |
and\[x-3=16(y-3)\,\,\Rightarrow \,\,x-16y+45=0\] ....(2) |
Subtracting eq. (2) from eq. (1), we get |
\[12y-60=0\,\,\Rightarrow \,\,y=5\] |
Substituting the value of y in eq. (1), we get |
\[x-4(5)-15=0\,\,\Rightarrow \,\,\,x=35\] |
Hence, the present age of man is 35 years. |
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