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10 April, 19:14

5. Alea is 5 times 3 less than Leo's age. Alea is 40 years old. How old is Leo

• Define a variable

• Write an equation

Solve the equation

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Answers (1)
  1. 10 April, 19:17
    0
    Leo is 11 years old

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - Alea is 5 times 3 less than leo's age

    - Alea is 40 years old

    - Assume that leo's age is x

    * Lets change the words to equation

    ∵ Leo is x years old

    ∵ Alea is 5 times 3 less than Leo's age

    - That means when we subtract 3 from Leo's age and multiply the

    difference by 5 the result is Alea's age

    ∴ Alea's age = 5 (x - 3)

    - Multiply the two terms of the bracket by 5

    ∴ Alea's age = 5x - 15

    ∵ Alea is 40 years old

    - Equate the expression of Alea's age by her age

    ∴ 5x - 15 = 40 ⇒ the equation to find Leo's age

    - Add 15 to both sides

    ∴ 5x = 55

    - Divide both sides by 5

    ∴ x = 11 ⇒ the solution of the equation

    ∵ x represents the Leo's age

    ∵ x = 11

    ∴ Leo is 11 years old
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