A) 3 : 8
B) 1 : 5
C) 1 : 2
D) None of these
Correct Answer: B
Solution :
Let 16 yr ago, |
Grandson's age = x yr |
\[\therefore \] Grandfather's age = 9 x yr |
After 8 yr from now, |
\[9x+16+8=3\,\,(x+16+8)\] |
\[\Rightarrow \] \[9x+24=3x+72\] |
\[\Rightarrow \] \[6x=48\]\[\therefore \]\[x=\frac{48}{6}=8\] |
Son's present age\[=x+16=8+16=24\] |
Grandfather's present age |
\[=9x+16=9\times 8+16=88\] |
Before 8 yr son's age\[=24-8=16\] |
Before 8 yr Grandfather's age \[=88-8=80\] |
\[\therefore \] The required ratio = 16 : 80 = 1 : 5 |
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