Let one number be x
The other number is x + 2
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their product is 143 more than 5 times their sums:
x (x + 2) = 5 (x + (x + 2) ) + 143
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Solve x:
x (x + 2) = 5 (x + (x + 2) ) + 143
x(x + 2) = 5 (2x + 2) + 143
x² + 2x = 10x + 10 + 143
x² - 8x - 153 = 0
(x + 9) (x - 17) = 0
x = - 9 or x = 17
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When x = - 9
1st number = -9
2nd number = - 9 + 2 = -7
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When x = 17
1st number = 17
2nd number = 17 + 2 = 19
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Answer: The two numbers are -7 and -9 or 17 and 19