{"id":"aqua_rat:264e08958375689827e1d4a388d0f2c4","source_id":"aqua_rat","source_item_id":"264e08958375689827e1d4a388d0f2c4","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":"If the ratio of the ages of Maya and Chhaya is 6:5 at present, and fifteen years from now, the ratio will get changed to 9:8, then find Maya's present age.","stimulus":"","stimulus_html":null,"stem_html":"

If the ratio of the ages of Maya and Chhaya is 6:5 at present, and fifteen years from now, the ratio will get changed to 9:8, then find Maya's present age.

","rationale_html":"

Let Maya's and Chhaya's present age is 6x and 5x respectively.

And,

(6x+15)/(5x+15) = 9/8;

Or, 48x+120 = 45x = 135;

Or, 3x = 15;

Or, x = 5;

Present age of Maya = 6x = 30.

Option B

","correct_answer":["B"],"equiv_key":"d4ac20b2e7f3f64db3190ee3","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"

24 years

","ord":0},{"label":"B","content_html":"

30 years

","ord":1},{"label":"C","content_html":"

18 years

","ord":2},{"label":"D","content_html":"

33 years

","ord":3},{"label":"E","content_html":"

None

","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":[]}