Question

A father was twelve times as old as his son twenty years back. Now he is twice as old as his son. what are their present ages ?

• A. Father $44$ and son $22$
• B. Father $35$ and son $23$
• C. Father $38$ and son $44$
• D. Father $55$ and son $22$
• E. None of these

Answer 1

Answer: (A)

Father $44$ and son $22$

Let present age of the son $=x$
Present age of the father $=2x$
Now, according to question, we have
$2x-20=12\times (x-20)$
$2x-20=12x-240$
$10x=220$
$x=22$
Present age son $=22$ years
Present age father $=2\times 22=44$ years.