ACCORDING TO QUES,
How about we think about the current age of the child to be x years.
Along these lines, the current age of the man \[=\text{ }x2\text{ }years\]
One year prior,
Child’s age \[=\text{ }\left( x\text{ }\text{ }1 \right)\] a long time
Man’s age \[=\text{ }\left( x2\text{ }\text{ }1 \right)\] a long time
ques suggests, that one year prior; the man was 8 times as old as his child.
\[\left( x2\text{ }\text{ }1 \right)\text{ }=\text{ }8\left( x\text{ }\text{ }1 \right)\]
\[x2\text{ }\text{ }8x\text{ }\text{ }1\text{ }+\text{ }8\text{ }=\text{ }0\]
\[x2\text{ }\text{ }8x\text{ }+\text{ }7\text{ }=\text{ }0\]
\[\left( x\text{ }\text{ }7 \right)\text{ }\left( x\text{ }\text{ }1 \right)\text{ }=\text{ }0\]
\[x\text{ }=\text{ }7,\text{ }1\]
At the point when\[x\text{ }=\text{ }1\] , then, at that point, \[x2\text{ }=\text{ }1\] , which is absurd as father’s age can’t be equivalent to child’s age.
hence, \[x\text{ }=\text{ }7\] is taken
then,
The current period of child = x years \[=\text{ }7\text{ }years\]
And the current period of man = x2 years \[=\text{ }49\text{ }years~\]