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A father is 18 years older than his son. The sum of their present age is 46 years. Determine the present age of the son

Mathematics

ScanSolve AI Answer

Answer

14 years\text{14 years}

Step-by-step solution

4 steps

  1. Define variables for the ages.

    Let SS be the son's present age.
    Let FF be the father's present age.

  2. Formulate equations based on the given information.

    From the first sentence, "A father is 18 years older than his son":

    F=S+18(1)F = S + 18 \quad (1)

    From the second sentence, "The sum of their present age is 46 years":

    F+S=46(2)F + S = 46 \quad (2)

  3. Substitute equation (1) into equation (2) to solve for SS.

    (S+18)+S=46(S + 18) + S = 46 2S+18=462S + 18 = 46

  4. Isolate SS and solve the equation.

    2S=46−182S = 46 - 18 2S=282S = 28 S=282S = \frac{28}{2} S=14S = 14

    The present age of the son is 14 years.

    14 years\boxed{\text{14 years}}

    3 zimekamilika, zimebaki 2 leo. Unapiga hatua.

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