{"status": "success", "data": {"description_md": "The lines $x = \\frac 14y + a$ and $y = \\frac 14x + b$ intersect at the point $(1,2)$.  What is $a + b$?\n\n$\\text {(A) } 0 \\qquad \\text {(B) } \\frac 34 \\qquad \\text {(C) } 1 \\qquad \\text {(D) } 2 \\qquad \\text {(E) } \\frac 94$\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>The lines  <span class=\"katex--inline\">x = \\frac 14y + a</span>  and  <span class=\"katex--inline\">y = \\frac 14x + b</span>  intersect at the point  <span class=\"katex--inline\">(1,2)</span> .  What is  <span class=\"katex--inline\">a + b</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\text {(A) } 0 \\qquad \\text {(B) } \\frac 34 \\qquad \\text {(C) } 1 \\qquad \\text {(D) } 2 \\qquad \\text {(E) } \\frac 94</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": 2, "problem_name": "2006 AMC 12B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12B_p09", "prev": "/problem/06_amc12B_p07"}}