the sum of two numbers is 58. One number is 17 more than the other. find the larger number.

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Use a system of equations to solve this problem.Let x = the first numberLet y = the second numberx + y = 58(Here you can interchange x and y in the next equation)x = y + 17(Substitute the second equation into the first)(y + 17) + y = 582y + 17 = 582y = 41y = 20.5(Solve for x now)x = y + 17x = 20.5 + 17x = 37.5Since x is larger than y, x is the larger number.The larger number is 37.5.