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Which is bigger x or y?

Updated: 12/20/2022
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14y ago

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Since both are variable, you need to plug in what the values are given in the problem, then subtract y from x.

If the answer is zero , then they are equal.

If the answer is a positive number then x is greater than y.

If the answer is a negative number then y is greater than x.

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14y ago
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When will a lesser number also have a lesser absolute value?

When the second number is positive and has an absolute value that is bigger. Suppose x is the first number and y the second. Then x is smaller than y implies that if x is non-negative then y is larger, and if x is negative then y is less negative (nearer 0), 0 or positive In the first case, abs(x) < abs(y), that is 0 <= x < y In the second case, abs(x) < abs(y) if 0 < -x < y.


What is an odd two digit number the difference of the two digis its is 5 and the difference in the squares of the two digits is 45?

The number is 27let the number be xy (that is it is 10x + y). Then:Assume x is the bigger digit, thenx - y = 5 ⇒ x = y + 5x2 - y2 = 45Substituting for x in 2 using 1 above:(y + 5)2 - y2 = 45⇒ y2 + 10y + 25 - y2 = 45⇒ 10y = 20⇒ y = 2⇒ x = 7But y must be odd since xy is odd.If y was assumed to be the bigger digit, x and y would be swapped in the above calculation, thus the values of x and y can be swapped:x = 2, y = 7 ⇒ the number is 27


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What is an odd two digit number the difference of the two digis its is 5 and the difference in the squares of the two digits is 45?

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