Present age of father is 42 years and that of his son is 14 years. Find the ratio of: |
(a) Present age of father to the present age of son. |
(b) Age of the father to the age of son, when son was 12 years old. |
(c) Age of father after 10 years to the age of son after 10 years. |
(d) Age of father to the age of son when father was 30 years old. |
Answer:
Present age of father = 42 years Present age of son = 14 years (a) Ratio of present age of father to the present age of son \[=42\text{ }years:14\text{ }years\] \[=42:14=\frac{42}{14}=\frac{3}{1}\] \[=3:1\] (b) When son?s was 12 years that means 2 years ago. Then the father?s age \[=(422)\text{ }years\] \[=40\text{ }years\]. Required Ratio \[=40:12=\frac{40\div 4}{12\div 4}=\frac{10}{3}\] \[=10:3\] (c) After 10 years: Father?s age \[=(42+10)\text{ }years\] \[=52\text{ }years\] Son?s age \[=(14+10)\text{ }years\] \[=24\text{ }years\] \[\therefore \] Required Ratio \[=52\text{ }years:24\text{ }years\] \[=52:24\] \[=\frac{52}{24}=\frac{52\div 4}{24\div 4}=\frac{13}{6}\] \[=13:6\] (d) When father?s age is 30 years (that mean 12 years ago) so the son?s age \[=1412=2\text{ }years\] \[\therefore \] Required Ratio \[=30\text{ }years:2\text{ }years\] \[=30:2=\frac{30}{2}=\frac{15}{1}\] \[=15:1\]
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