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The sum of 2 no. is 99 and one of them is 17 more than the other. what are the 2 number |
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Answer» the SMALLER number.Since the larger number is 17 more than the smaller ONE, then ...Let n + 17 = the larger number.Since "the sum of the TWO numbers is 99," then we can translate this statement mathematically into the following equation to be solved for n:n + (n + 17) = 99n + n + 17 = 99Collecting like-terms on the left side of the equation, we get:2n + 17 = 99Now, subtracting 17 from both sides, we have:2n + 17 - 17 =99 - 172n +0 = 822n=82Now, divide both sides by 2, we get:(2n)/2 =82/2(2/2)n = 82/2(1)n = 41n = 41Therefore, ...n + 17 = 41 + 17= 58⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ |
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