A) 100 years
B) 70 years
C) 60 years
D) 50 years
Correct Answer: D
Solution :
Let the age of father be \[x\] years, the age of elder son be \[y\] years and the age of younger son be \[z\] years. From the first condition \[x=2y\] ? (i) From the second condition \[x+10=3(z+10)\] or \[x+10=3z+30\] or \[x-3z=20\] ... (ii) From the third condition \[y-z=15\] ? (iii) Put the value of \[y\] from equation (i) in (iii), we get \[x-2z=30\] ? (iv) Solving (ii) and (iii), we get \[x=50\] Hence the age of the father is \[50\] years.
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