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Vlad1618 [11]
3 years ago
15

The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT

of the two numbers.
Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

26 and 32. The product (multiplied together) is 832.

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So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.


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