Q:

im's uncle is 4 times as old as his nephew Jim. In 10 years, Jim's uncle age will be 20 years more than twice Jim's age. How old is Jim right now? Type a numerical answer in the space provided. for 17 points answer quick

Accepted Solution

A:
Answer:15 years old.Step-by-step explanation:Let Jim's age now be one unit (1u).His uncle's age now is then 4 units.Jim's age in 10 years = 1u + 10Jim's uncle's age in 10 years = 4u + 10In 10 years, Jim's uncle's age will be 20 years more than twice Jim's age.Twice Jim's age =[tex]2(1u + 10) = 2u + 20[/tex]Since Jim's uncle's age is 20 years more than this, we can say that his uncle's age is equal to [tex]2u + 20 + 20[/tex]which is equal to [tex]2u + 40[/tex]We found out that Jim's uncle's age in 10 years is 4u+10. Hence [tex]4u + 10 = 2u + 40[/tex]We subtract 10 from both sides:[tex]4u = 2u + 30[/tex]Therefore [tex]2u = 30[/tex]and one unit is 15. Hence, Jim's age now is 15.