Question

13. Michael Jordan and Lebron James' ages add up to 98. The difference of their ages is 22. If we know

Michael Jordan is older than Lebron, write a solve a system of equations to find the age of these two
legendary basketball players.
Michael Jordan's Age:
Lebron James' Age:

Answer 1

The ages of Michael Jordan and Lebron James can be determined by setting up and solving a system of equations based on the sum and difference of their ages. Michael Jordan's age is 60, and Lebron James' age is 38.

Step-by-step explanation:

To find the ages of Michael Jordan and Lebron James, we can set up a system of equations based on the information given. Michael Jordan is older than Lebron James, their ages add up to 98, and the difference of their ages is 22. Let's define our variables: let M represent Michael Jordan's age and L represent Lebron James' age.

The first equation represents the sum of their ages: M + L = 98

The second equation represents the difference in their ages (since Michael is older, we subtract Lebron's age from Michael's): M - L = 22

Now, we have a system of equations:

1. M + L = 98
2. M - L = 22

To solve this system, we can either use substitution or elimination. We'll use elimination in this example. By adding the two equations together, we can eliminate L:

• M + L (from the first equation) plus
• M - L (from the second equation) gives us
• 2M = 120

Divide both sides by 2, we find that

M = 60

. Now that we know Michael Jordan's age, we can substitute it back into the first equation to find Lebron's age:

60 + L = 98

Subtracting 60 from both sides of that equation gives L = 38.

So, Michael Jordan's Age is 60 and Lebron James' Age is 38.

Answer 2

Step-by-step explanation:

Let Michael's age be x and James' age be y

x + y = 98 ------------------ (1)

x - y = 22 ------------------- (2)

Adding (1) and (2) , we get ,

2x = 120

x = 60 yrs
y = 98 - 60 = 38 yrs