Question

I NEED HELP ASAP ITS A QUIZ Jim's uncle is four times as old as his nephew Jim. In ten years, Jim's uncle's age will be twenty years more than twice Jim's age. How old is Jim's uncle right now? Type a numerical answer in the space provided. Do not type spaces in your answer.

Answer 1

Answer:

Jim's uncle is 20 years old right now

Step-by-step explanation:

The number of times Jim's uncle is as old as Jim = 4 times

The age of Jim's uncle in 10 years = 20 + 2 × Jim's age

Let Jim's age = A, and Jim's uncles age = B;

Therefore, from the information in the question, we have;

B = 4 × A........................................(1)

B + 10 = 20 + 2 × A......................(2)

Therefore, by substituting the value of B from equation (1) into equation (2), we have;

B = 4 × A

∴ B + 10 = 20 + 2 × A, gives;

4 × A + 10 = 20 + 2 × A

4 × A - 2 × A  = 20 - 10 = 10

A × (4 - 2) = 10

2 × A = 10

A = 10/2 = 5

A = 5 years

Therefore, Jim's age = A = 5 years

Jim's age = 5 years

B = 4 × A = 4 × 5 years = 20 years

B = 20 years

Jim's uncles age = B = 20 years

Jim's uncles age = 20 years

Therefore;

Jim's uncle is 20 years old right now.