Subjects algebra

Salary Relations 25C3E5

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1. **Problem statement:** Arun's salary is twice Suraj's salary, and Suraj's salary is triple Epsilon's salary. Find Epsilon's annual salary. 2. **Define variables:** Let Epsilon's salary be $E$. 3. **Express Suraj's salary:** Suraj's salary $S = 3E$ (since Suraj's salary is triple Epsilon's). 4. **Express Arun's salary:** Arun's salary $A = 2S = 2 \times 3E = 6E$. 5. **Interpretation:** Arun's salary is $6E$, Suraj's salary is $3E$, and Epsilon's salary is $E$. 6. **Conclusion:** Without a specific numeric value for Arun's or Suraj's salary, Epsilon's salary remains $E$. If Arun's or Suraj's salary is given, substitute to find $E$. Since no numeric salary is given, the problem is to express Epsilon's salary in terms of Arun's or Suraj's salary. 7. **Express Epsilon's salary in terms of Arun's salary:** $$E = \frac{A}{6}$$ 8. **Express Epsilon's salary in terms of Suraj's salary:** $$E = \frac{S}{3}$$ **Final answer:** Epsilon's annual salary is one-sixth of Arun's salary or one-third of Suraj's salary.