SOLUTION: 2 numbers such as 25% of the larger is 10 more than 50% of the smaller and the square of their difference is 900. What is the product of the 2 numbers.

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Question 1098010: 2 numbers such as 25% of the larger is 10 more than 50% of the smaller and the square of their difference is 900. What is the product of the 2 numbers.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x and y numbers

system%28y%2F4=10%2Bx%2F2%2C%28y-x%29%5E2=900%29

system%28y=2x%2B40%2Cy-x=30%29
Finishing should be no trouble...

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
2 numbers such as 25% of the larger is 10 more than 50% of the smaller and the square of their difference is 900. What is the product of the 2 numbers.
Product of the 2 numbers: highlight_green%28-+200%29%29