so dad is represented by xson is represented by yso x is (x=) 7 times his son (7y)our first sentence is x=7y10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))or 10+x=3(y+10)so our sentences arex=7yandx+10=3(y+10)first we subsitute x=7y for x in the second equation(7y)+10=3(y+10)7y+10=3(y+10)we distribute7y+10=3y+30subtract 3y from both sides4y+10=30subtract 10 from both sides4y=20divide both sides by 4y=5the son is currently 5 years oldx=7ysubsitute y=5 for y in equationx=7(5)x=35the dad is currently 35 years oldin 10 yearsdad is 45 and son is 15dad=35son=5
these are the answers son = 5dad= 35
Related Question in Mathematics
- On your first day of work at the Vanity Fur Grooming Shop, you groomed 3 dogs between 7:45 a.m. and 2:30 p.m., taking breaks that totaled 45 minutes. Your supervisor advises that you will be scheduling your own appointments when customers call to have their pets groomed. If you continue to work at the same rate, how much time should you allow for each grooming appointment?