Answered

From simple queries to complex problems, IDNLearn.com provides reliable answers. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

Five years ago, Orville was twice as old as Wilbur. Five years from now, Orville will be one and one half times as old as Wilbur. How old is each now?

Sagot :

Naǫidn
x - Orville's age
y - Wilbur's age

Five years ago, Orville was twice as old as Wilbur.
[tex]x-5=2(y-5) \\ x-5=2y-10 \\ x=2y-10+5 \\ x=2y-5[/tex]

Five years from now, Orville will be one and one half times as old as Wilbur.
[tex]x+5=1 \frac{1}{2}(y+5) \\ x+5=\frac{3}{2}(y+5) \\ x+5=\frac{3}{2}y+\frac{15}{2} \\ x=\frac{3}{2}y+\frac{15}{2}-5[/tex]

Set both expressions equal to each other:
[tex]x=x \\ 2y-5=\frac{3}{2}y+\frac{15}{2}-5 \ \ \ |+5 \\ 2y=\frac{3}{2}y+\frac{15}{2} \ \ \ |\times 2 \\ 4y=3y+15 \\ 4y-3y=15 \\ y=15 \\ \\ x=2y-5=2 \times 15-5=30-5=25 [/tex]

Orville is 25 years old.
Wilbur is 15 years old.
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.