SOLUTION: at present sohan's age is 7 more than a square number and 6 less than it immediate next square number.in how many years sohan will be 80 years?

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Question 760546: at present sohan's age is 7 more than a square number and 6 less than it immediate next square number.in how many years sohan will be 80 years?
Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
Sohan's age is 7 more than a square number.
So, if x is the age,
for some number n.
Next number = n+1
x is also given to be 6 less than the next square number.
i.e.
Equating the two values of x,

Expanding (n+1)^2

Removing n^2 from both sides

i.e

i.e.

So Sohan's age is years.
In how many years will Sohan be 80 years old?
Sohan will be 80 in another years.

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