Nancy is 10 years less than 3 times her daughters age. If Nancy is 41 years old, how old is her daug

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Nancy is 10 years less than 3 times her daughters age. If Nancy is 41 years old, how old is her daughter?

Declare variables for each age:

• Let Nancy's age be n
• Let her daughter's age be d

We're given two equations:

1. n = 3d - 10
2. n = 41

We set 3d - 10 = 41 and solve for d:

Solve for d in the equation 3d - 10 = 41

Step 1: Group constants:
We need to group our constants -10 and 41. To do that, we add 10 to both sides
3d - 10 + 10 = 41 + 10

Step 2: Cancel 10 on the left side:
3d = 51

Step 3: Divide each side of the equation by 3
3d/3 = 51/3
d = 17