Casey is 26 years old. Her daughter Chloe is 4 years old. In how many years will Casey be double her

Casey is 26 years old. Her daughter Chloe is 4 years old. In how many years will Casey be double her daughter's age

Declare variables for each age:

• Let Casey's age be c
• Let her daughter's age be d
• Let n be the number of years from now where Casey will be double her daughter's age

We're told that:
26 + n = 2(4 + n)
26 + n = 8 + 2n

Solve for n in the equation 26 + n = 8 + 2n

Step 1: Group variables:
We need to group our variables n and 2n. To do that, we subtract 2n from both sides
n + 26 - 2n = 2n + 8 - 2n

Step 2: Cancel 2n on the right side:
-n + 26 = 8

Step 3: Group constants:
We need to group our constants 26 and 8. To do that, we subtract 26 from both sides
-n + 26 - 26 = 8 - 26

Step 4: Cancel 26 on the left side:
-n = -18

Step 5: Divide each side of the equation by -1
-1n/-1 = -18/-1
n = 18

Check our work for n = 18:
26 + 18 ? 8 + 2(18)
44 ? 8 + 36
44 = 44