SOLUTION: Yoshi +12 years = her sister's age. 6 years from now the sum of their ages will equal 32. What is Yoshi's present age?

Question 315423: Yoshi +12 years = her sister's age.
6 years from now the sum of their ages will equal 32.
What is Yoshi's present age?
Answer by moshiz08(60) (Show Source): You can put this solution on YOUR website!
We have the first equation (where Y = yoshi's age, S = her sister's age)
For the second equation (6 years from now the sum of their ages will equal 32): six years from now we know that Yoshi's age will be Y+6. Her sister's age will be S+6. Thus the equation reads:
. This is the same as combining like terms to give or subtracting 12 from both sides to give .
But we know from the first equation that . Substitute this into to give . Then combining like terms gives . Subtracting 12 from both sides gives . Dividing by 2 yields .
Now we check. If yoshi is 4 years old, then his sister is 4+12 = 16 years old.
In six years, yoshi will be 10. His sister will be 22. The sum of their ages (10 + 22) gives us 32, so the answer yoshi is 4 works.
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