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.
