{"id":"aqua_rat:a21b42ad0bd82c4a57ecb9d008014403","source_id":"aqua_rat","source_item_id":"a21b42ad0bd82c4a57ecb9d008014403","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":"A two digit number exceeds the sum of the digits of that number by 18. If the digit at the unit's place is double the digit in the ten's place, what is the number?","stimulus":"","stimulus_html":null,"stem_html":"<p>A two digit number exceeds the sum of the digits of that number by 18. If the digit at the unit&#x27;s place is double the digit in the ten&#x27;s place, what is the number?</p>","rationale_html":"<p>Let the ten&#x27;s digit be x.</p><p>Then, unit&#x27;s digit = 2x.</p><p>Number = 10x + 2x = 12x;</p><p>Sum of digits = x + 2x = 3x.</p><p>Therefore, 12x - 3x = 18</p><p>‹=› 9x = 18</p><p>‹=› x = 2.</p><p>Hence, required number = 12x = 24.</p><p>Answer B</p>","correct_answer":["B"],"equiv_key":"fae106aaf313205eb13e3b2f","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>12</p>","ord":0},{"label":"B","content_html":"<p>24</p>","ord":1},{"label":"C","content_html":"<p>42</p>","ord":2},{"label":"D","content_html":"<p>48</p>","ord":3},{"label":"E","content_html":"<p>49</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":[]}