Subjects algebra

Age Sum 379518

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1. **State the problem:** Ravi is 11 years old, Devi is 5 years older than Ravi, so Devi is $11 + 5 = 16$ years old. 2. We want to find how many years later their total age will be 43. 3. Let $x$ be the number of years later. 4. After $x$ years, Ravi's age will be $11 + x$ and Devi's age will be $16 + x$. 5. Their total age after $x$ years is given by the equation: $$ (11 + x) + (16 + x) = 43 $$ 6. Simplify the equation: $$ 11 + x + 16 + x = 43 $$ $$ 27 + 2x = 43 $$ 7. Subtract 27 from both sides: $$ \cancel{27} + 2x - \cancel{27} = 43 - 27 $$ $$ 2x = 16 $$ 8. Divide both sides by 2: $$ \frac{2x}{\cancel{2}} = \frac{16}{\cancel{2}} $$ $$ x = 8 $$ 9. **Answer:** In 8 years, their total age will be 43.