{"id":"aqua_rat:625aada77b5c4cd238eca7bb66d99a9d","source_id":"aqua_rat","source_item_id":"625aada77b5c4cd238eca7bb66d99a9d","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"1 year ago, Promila was 4 times as old as her daughter Jenilia. In 6 years, Promila's age will exceed her daughter’s age by 9 years. The ratio of the present ages of Promila and her daughter is :","stimulus":"","stimulus_html":null,"stem_html":"<p>1 year ago, Promila was 4 times as old as her daughter Jenilia. In 6 years, Promila&#x27;s age will exceed her daughter’s age by 9 years. The ratio of the present ages of Promila and her daughter is :</p>","rationale_html":"<p>Let the ages of Promila and Jenilia 1 year ago be 4x and x years, respectively.</p><p>Then, [(4x + 1) + 6] - [(x + 1) + 6] = 9 ⇔ 3x = 9 ⇔ x = 3.</p><p>∴ Required ratio = (4x + 1) : (x + 1) = 13:4.</p><p>Answer A</p>","correct_answer":["A"],"equiv_key":"ede18d5fa93bbeb639e2bd9e","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>13:4</p>","ord":0},{"label":"B","content_html":"<p>14:5</p>","ord":1},{"label":"C","content_html":"<p>15:5</p>","ord":2},{"label":"D","content_html":"<p>16:5</p>","ord":3},{"label":"E","content_html":"<p>None</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}