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Solve the following problems completely. Choose only 3. (30 points)
1.
It would take Arnold 2 hours to paint a room. While Mike would take 3hours to paint the same
room. How long will it take them to paint the room together?
2. The denominator of a fraction is 2 more than the numerator. If 1 is subtracted from both the
numerator and denominator, the resulting fraction has a value of 2/3. Find the original fraction.
3. Jenny is five years older than Maria. The product of her age three years from now and Marian's
age five years ago will be 90 years. Find their present ages.
4.
The product of the two numbers is 18 and their sum is 11. Find the numbers.
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5. The perimeter of a trapezoid is 42 sq.m. Find x if the boxes of the trapezoid are (x − 9) cm, (x − 8)
cm and their distance is x cm long.

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