ABC26GN0854 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

If $a^{2}+b^{2}=117$ and $ab=54$, then find the value of $\frac{a+b}{a-b}$.
Answer
Answer (as printed):
Explanation
$(a+b)^{2}=a^{2}+b^{2}+2ab=117+2 \times 54=225 \Rightarrow a+b=15$. $(a-b)^{2}=a^{2}+b^{2}-2ab=117-2 \times 54=9 \Rightarrow a-b=3$. $\therefore \frac{a+b}{a-b}=\frac{15}{3}=5$.

Explanation as extracted from the printed page; notation may be imperfect.

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