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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 1 · Set 1 · Q5
The product of Rehan's age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age.
The product of Rehan's age (in years) $\displaystyle 5$ years ago and his age $\displaystyle 7$ years from now, is one more than twice his present age. Find his present age.
Marking-scheme solution
Let Rehan's present age be $\displaystyle x$ years
\[\begin{array}{l}
\therefore(x-5)(x+7)=2 x+1 \\
\Rightarrow x^{2}=36 \\
\Rightarrow x=6
\end{array}
\]
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