Algebra

Damien is 6 years older than Emma. In 9 years the sum of their ages will be 82. How old is Damien now?

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  1. D = E + 6

    D + 9 + E + 6 + 9 = 82

    substituting
    ... (E + 6) + E + 24 = 82

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  2. Emma is X yrs. old now.
    Damien is X+6 yrs. old now.

    9 yrs. from now:
    Emma, X+9 yrs. old.
    Damien, (X+6)+9 yrs. old.

    (X+9) + (X+6 + 9) = 82. X = ?.

    Damien = X+6.

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