One Number Is The Square Of Another. Their Sum Is 90. Find The Smaller Number. (2023)

1. One number is the square of another. Their product is 90. Find the smaller ...

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One number is the square of another. Their product is 90. Find the smaller number - 20705823

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9 Let n be the integer in question. Then we have n^2+n = 90 => n^2+n-90 = 0 We now have a quadratic equation to solve. We could use the quadratic formula, however we know that n is an integer, so instead let's try to solve by factoring instead. n^2+n-90 = 0 => n^2 + 10n - 9n - 90 = 0 => n(n+10)-9(n+10) = 0 => (n-9)(n+10) = 0 => n-9 = 0 or n+10 = 0 => n=9 or n=-10 As it is given that n>0, we can disregard the possibility that n=-10, leaving us with our final answer of n=9 Checking our result, we find that it satisfies the given conditions: 9+9^2 = 9+81 = 90

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You have one number 2 times the other number, and the sum is 90. What are the two numbers?

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5 Aug 2021 · So, the numbers are 11 and 6. If we consider the case i.e. second – first = 5, then the solution will be same and the first number will become 6 ...
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The correct option is A 5, 3. Let the numbers be x and y ⇒x+y=8 .....(1) and x+y=4(x−y) (Assuming x > y) ⇒3x−5y=0 ......(2) On multiplying equation (1) by 5 ...
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