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19 February, 01:56

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3. Solve: x + y = 55 x - y = 3

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  1. 19 February, 02:12
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    x = 29 and y = 26

    Mr. Micklow's age is 29 years and Ms. Craft's age is 26 years

    Step-by-step explanation:

    Mr. Micklow's age is x and Ms. Craft's age is y

    ∵ The sum of their ages is 55

    ∴ x + y = 55 ⇒ (1)

    ∵ The difference between their ages is 3

    ∴ x - y = 3 ⇒ (2)

    Now you have a system of equation let us solve it

    Add equation (1) and (2) to eliminate y

    ∵ (x + x) + (y - y) = (55 + 3)

    ∴ 2x = 58

    - Divide both sides by 2

    ∴ x = 29

    Substitute the value of x in equation (1) or (2) to find y

    ∵ 29 + y = 55

    - Subtract 29 from both sides

    ∴ y = 26

    Mr. Micklow's age is 29 years and Ms. Craft's age is 26 years
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