# 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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