Subjects algebra

Shobhits Age

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1. **State the problem:** We need to find Shobhit's present age given that 11 years from now, his age will be 3 times what it was 3 years ago. 2. **Define variables:** Let Shobhit's present age be $x$ years. 3. **Translate the problem into an equation:** - Age 11 years from now: $x + 11$ - Age 3 years ago: $x - 3$ According to the problem, $x + 11 = 3(x - 3)$. 4. **Solve the equation:** $$x + 11 = 3(x - 3)$$ $$x + 11 = 3x - 9$$ Bring all terms to one side: $$x + 11 - 3x + 9 = 0$$ $$-2x + 20 = 0$$ Simplify: $$-2x = -20$$ Divide both sides by $-2$: $$x = \frac{-20}{-2} = 10$$ 5. **Interpret the result:** Shobhit's present age is $10$ years. **Final answer:** Shobhit is currently 10 years old.