Question

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

Answer 1

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 + 10

Jim's uncle's age in 10 years = 4u + 10

In 10 years, Jim's uncle's age will be 20 years more than twice Jim's age.

Twice Jim's age =

$2(1u + 10) = 2u + 20$

Since Jim's uncle's age is 20 years more than this, we can say that his uncle's age is equal to

$2u + 20 + 20$

which is equal to

$2u + 40$

We found out that Jim's uncle's age in 10 years is 4u+10. Hence

$4u + 10 = 2u + 40$

We subtract 10 from both sides:

$4u = 2u + 30$

Therefore

$2u = 30$

and one unit is 15. Hence, Jim's age now is 15.