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Let x = "my" age.
Then the sister's age = x+15.
The sum of ages equation is
x + (x+15) = 49.
2x + 15 = 49
2x = 49 - 15 = 34.
x = 34/2 = 17.
ANSWER. My age is 17. The sister's age is 17+15 = 32.
CHECK. 17 + 32 = 49. ! Correct !
Solved.