Charles is eight years older than five times Mark’s age. If Charles is 63 years old, how old is Mark?

{ "query": { "display": "Charles is eight years older than five times Mark’s age. If Charles is 63 years old, how old is Mark?", "symbolab_question": "#Charles is eight years older than five times Mark’s age. If Charles is 63 years old, how old is Mark?" }, "solution": { "level": "PERFORMED", "subject": "Word Problems", "topic": "Age", "subTopic": "Other", "default": "\\mathrm{\\mathrm{Mark}'s\\:age\\:is:}\\:11" }, "steps": { "type": "interim", "title": "Charles is 8 years older than 5 times Mark's age.<br/>Charles is 63 years old.<br/>how old is Mark?<br/> <br/>\\mathrm{Mark}'s age is: $$11$$", "steps": [ { "type": "interim", "title": "Translate the problem into an equation:$${\\quad}5x=63-8$$", "steps": [ { "type": "step", "primary": "Represent ages in terms of $$x:$$", "result": "\\mathrm{Mark}\\::\\:x<br/>\\mathrm{Charles}\\::\\:63" }, { "type": "step", "primary": "Write an equation for their ages ", "result": "5x=63-8" } ] }, { "type": "interim", "title": "Solve for $$x,\\:5x=63-8:{\\quad}x=11$$", "input": "5x=63-8", "steps": [ { "type": "step", "primary": "Subtract the numbers: $$63-8=55$$", "result": "5x=55" }, { "type": "interim", "title": "Divide both sides by $$5$$", "input": "5x=55", "result": "x=11", "steps": [ { "type": "step", "primary": "Divide both sides by $$5$$", "result": "\\frac{5x}{5}=\\frac{55}{5}" }, { "type": "step", "primary": "Simplify", "result": "x=11" } ], "meta": { "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7/vv0B0ivmzjDBKitZFULdpN1pXT08zEQpn0WJ6CFMXBgNJ67EOD8lvNAD3ifVxEoWUNf+SC+/Yn+o7CxiFlbaELnl0vbMABEoAC/0Q1ayCCsHuCWujTcybm8y4lstc3AiiuTvHZMNMidREaJCrkWGR/lYnpceCLMJYW0jrp/GI8lyBo7pw7QybOHkIVh5qYcL0LE4emeJ8h+u3IHLsZcHKB4PSDd76H+6+otrzGJTCtT6PKzlZb00jWGt5kEGrcvNOmv75Pt5csrB2Yds3C9p08YrmSRejouV6cFhNwTUMDU3KAY4kDHilM6r45aMYmhRT6FvIpi+SIc8+o3gR8t1Ytduin5SBlz49E+ukld6ZgCJ1lQ1FAwVjR6mDWtuTH5DgDlk1i/4yAtEn/PcFV4wKN6Hv6MoTMtvtU0IQwXdn8Ime+VHyE1xbRKHrZpOGTAI3VNYGmdN1yORxmriwW+OiS3daIZHtloJpe/PvtsyNI=" } } ], "meta": { "solvingClass": "Equations" } }, { "type": "step", "result": "\\mathrm{\\mathrm{Mark}'s\\:age\\:is:}\\:11" } ] } }