Question

Jeremy's age plus 2 times Allen’s age is 42. Allen is 6 years younger than Jeremy. How old is Jeremy? *

Answer 1

To find Jeremy's age, we established two equations from the given information: J + 2A = 42 and A = J - 6. By substituting A in the first equation and solving for J, we found that Jeremy is 18 years old.

Step-by-step explanation:

The question is asking us to solve a system of equations to determine Jeremy's age. We are given two pieces of information:

1. Jeremy's age plus 2 times Allen’s age is 42.
2. Allen is 6 years younger than Jeremy.

Let's denote Jeremy's age as J and Allen's age as A. The equations based on the given information would be:

• J + 2A = 42
• A = J - 6

We can substitute the second equation into the first to find J:

• J + 2(J - 6) = 42
• J + 2J - 12 = 42
• 3J - 12 = 42
• 3J = 42 + 12
• 3J = 54
• J = 54 / 3
• J = 18

Therefore, Jeremy is 18 years old.

Answer 2

J+2A=42
A=J-6
See the rest in the photo