Kevin is 4 times old as Daniel and is also 6 years older than Daniel

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Kevin is 4 times old as Daniel and is also 6 years older than Daniel.

Let k be Kevin's age and d be Daniel's age. We have 2 equations:

  • k = 4d
  • k = d + 6
    • Plug (1) into (2):
    4d = d + 6

    Subtract d from each side:
    4d - d = d - d + 6

    Cancel the d terms on the right side and simplify:
    3d = 6

    Divide each side by 3:
    3d/3 = 6/3

    Cancel the 3 on the left side:
    d = 2

    Plug this back into equation (1):
    k = 4(2)
    k = 8

    So Daniel is 2 years old and Kevin is 8 years old

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