SOLUTION: My sister is 8 years older than I am. The sum of our ages is 38. Find our ages

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Question 1146613: My sister is 8 years older than I am. The sum of our ages is 38. Find our ages
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

my sister is 8 years older than I am :
sister=+I%2B8....eq.1

The sum of our ages is 38:
sister%2BI=38....eq.2

substitute sister with I%2B8 from eq.1

I%2B8%2BI=38....eq.2......solve for I
2I=38-8
2I=30
I=15
now calculate sister=+I%2B8
sister=+15%2B8
sister=+23

so, I am 15 years old and my sister is 23 years old