Ashley's age is 5 years younger than 3 times her cousin's age. Ashley is 31 years old.

{ "query": { "display": "Ashley's age is 5 years younger than 3 times her cousin's age. Ashley is 31 years old.", "symbolab_question": "#Ashley's age is 5 years younger than 3 times her cousin's age. Ashley is 31 years old." }, "solution": { "level": "PERFORMED", "subject": "Word Problems", "topic": "Age", "subTopic": "Other", "default": "\\mathrm{\\mathrm{Cousin}'s\\:age\\:is:}\\:12<br/>\\mathrm{\\mathrm{Ashley}'s\\:age\\:is:}\\:31" }, "steps": { "type": "interim", "title": "Ashley's age is 5 years younger than 3 times her cousin's age.<br/>Ashley is 31 years old<br/> <br/>\\mathrm{Cousin}'s age is: $$12$$<br/>\\mathrm{Ashley}'s age is: $$31$$", "steps": [ { "type": "interim", "title": "Translate the problem into an equation:$${\\quad}3x=31+5$$", "steps": [ { "type": "step", "primary": "Represent ages in terms of $$x:$$", "result": "\\mathrm{Cousin}\\::\\:x<br/>\\mathrm{Ashley}\\::\\:31" }, { "type": "step", "primary": "Write an equation for their ages ", "result": "3x=31+5" } ] }, { "type": "interim", "title": "Solve for $$x,\\:3x=31+5:{\\quad}x=12$$", "input": "3x=31+5", "steps": [ { "type": "step", "primary": "Add the numbers: $$31+5=36$$", "result": "3x=36" }, { "type": "interim", "title": "Divide both sides by $$3$$", "input": "3x=36", "result": "x=12", "steps": [ { "type": "step", "primary": "Divide both sides by $$3$$", "result": "\\frac{3x}{3}=\\frac{36}{3}" }, { "type": "step", "primary": "Simplify", "result": "x=12" } ], "meta": { "gptData": "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" } } ], "meta": { "solvingClass": "Equations" } }, { "type": "interim", "title": "Find age", "steps": [ { "type": "step", "primary": "Plug in the value for $$x\\:$$to find current ages:", "result": "\\mathrm{Cousin}\\::\\:12<br/>\\mathrm{Ashley}\\::\\:31" } ] }, { "type": "step", "result": "\\mathrm{\\mathrm{Cousin}'s\\:age\\:is:}\\:12<br/>\\mathrm{\\mathrm{Ashley}'s\\:age\\:is:}\\:31" } ] } }