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Ahmed is x years old and his father is x 2 years old. If the sum of their ages is 56 years , form an equation in x and solve it to find the age of each .

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Answer:

Ahmed is 7 , his father is 49

Explanation:

given Ahmed is x years old and his father is x² years old

the sum of their ages is 56 , that is

x² + x = 56 ( subtract 56 from both sides )

x² + x - 56 = 0 ← quadratic equation in standard form

(x + 8)(x - 7) = 0 ← in factored form

equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 7 = 0 ⇒ x = 7

since x > 0 , then x = 7

Ahmed is 7 years old and his father is 7² = 49 years old

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