{"status": "success", "data": {"description_md": "Two different positive numbers $a$ and $b$ each differ from their reciprocals by $1$. What is $a+b$?\n\n$\\text{(A) }1<br>\\qquad<br>\\text{(B) }2<br>\\qquad<br>\\text{(C) }\\sqrt 5<br>\\qquad<br>\\text{(D) }\\sqrt 6<br>\\qquad<br>\\text{(E) }3$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Two different positive numbers  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  each differ from their reciprocals by  <span class=\"katex--inline\">1</span> . What is  <span class=\"katex--inline\">a+b</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\text{(A) }1\\qquad\\text{(B) }2\\qquad\\text{(C) }\\sqrt 5\\qquad\\text{(D) }\\sqrt 6\\qquad\\text{(E) }3</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2002 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p14", "prev": "/problem/02_amc12A_p12"}}