The first number of three consecutive even integers equals thesum of the second

Question

The first number of three consecutive even integers equals thesum of the second and third. Find the three numbers. Type themconsecutively.

It took John 12 hours riding his bike to make the round trip tohis uncle's. If he averaged 20 mph out and 30 mph back, how longdid he travel each way? (Round answer to nearesttenth.)      This one I've tried againand got 6.3 hrs going out and 5.7 hrs going back. Please tell me ifthis is right; if not then please explain the problem.

In 5 years, Dad will be three times as old as his daughter Jillwill be then. If the sum of their present ages is 50, how old arethey now?         Ok,this one I actually got right, but when I went back to solve torefresh my memory, well I completely forgot how I did it. Theanswers to this problem are Jill is 10 yrs. old and Dad is 40 yrs.Please help!

Explanation / Answer

You're only allowed to ask one question per post. For the last problem, you know that in 5 years, the sum of the ageswill be 60 (Dad is 5 years older, daughter is 5 years older, 50 +10 = 60). It is given that the Dad will be three times as old as thedaughter. Set the daughter's age equal to x, so the Dad's age is3x. We know the sum equals 60. 3x + x = 60. Solving for x yields 15, and solving for 3x yields 45. Rememberthat these are the ages in 5 years. Simply subtract 5 from each age to get today's ages. Dad = 40, Daughter =10.

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