{"id":"aqua_rat:4b5b183ae29f6dd31e9fb74257db7f6b","source_id":"aqua_rat","source_item_id":"4b5b183ae29f6dd31e9fb74257db7f6b","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":"Joe's age, Joe's sister's age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe's father?","stimulus":"","stimulus_html":null,"stem_html":"<p>Joe&#x27;s age, Joe&#x27;s sister&#x27;s age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe&#x27;s sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe&#x27;s father?</p>","rationale_html":"<p>Joe+Sister+Father=100</p><p>After x years joe age is equal to his father</p><p>Joe+x = father</p><p>Therefore, Sister+x = 2 * Sister</p><p>=&gt; Sister=x</p><p>Joe+Sister=Father</p><p>Therefore,</p><p>=&gt; 2*Father = 100</p><p>=&gt; Father= 50</p><p>Hence (C) is the correct answer</p>","correct_answer":["C"],"equiv_key":"f4fca5e2f39425f7c049fd43","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>45</p>","ord":0},{"label":"B","content_html":"<p>48</p>","ord":1},{"label":"C","content_html":"<p>50</p>","ord":2},{"label":"D","content_html":"<p>55</p>","ord":3},{"label":"E","content_html":"<p>58</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":[]}