one year ago,a man was 8 times as old as his son,now his age is equal to the square of his son's age. find the present age
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Answer:
the present age of Man is 81 year
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Step-by-step explanation:
Let the present age of man be m and that of the son be s.
As per the condition given in the question,
m-1=8(s-1)
m-1=8s-8
m+7=8s -----(1)
The second condition is
m=s^2 ------(2)
Now substituting m from (2) in (1),
s^2+7=8s
s^2-8s+7=0
s^2-7s-s+7=0
s(s-7)-1(s-7)=0
(s-1)(s-7)=0
So, s=1 or s=7
And m=(1)^2=1 or m=(7)^2=49
Here the best answer is m=49 and s=7
and m=1 and s=1 can't be the appropriate solution.
Hence the answer is man's present age is 49 and that of the son is 7.
Hope this helps you.
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