the sum of two numbers is 7 and the difference of their squares is 21. Find the numbers.

Q: The product of two numbers is 4 and the sum of their squares is 8.Find the numbers.

A: Assumption of the numbers and their solution helps to find the required numbers. Addition of the…

Q: The product of twice a number and four is the same as the difference of seven times the number and…

A: Please rate

Q: The sum of a positive number and it's square is 72. What is the number?

A: Let the positive number is x. Then according to our problem, x2 + x = 72.

Q: The difference of two positive numbers is 48, and one number is 4 times as large as the other. What…

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Q: The sum of the squares of two positive numbers is 65 and the difference of the squares of the…

A: We have to find numbers.

Q: The product of two numbers is 10 and the difference of their squares is 21. FInd the numbers.

A: Let x be the first number and y be the second number.The product of two numbers is 10.Then,

Q: The sum of two numbers is 4 and the difference of their squares is 64. Find the numbers.

A: Let the two numbers be x and y.Then, we have

Q: The sum of two numbers is 66. The smaller number is 16 less than the larger number. What are the…

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Q: The sum of two numbers is 80. The difference of the two numbers is 44. What are the two numbers? Let…

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Q: (a) Sum of the areas of two squares is 850 m2. If the difference of their perimeters is 40 m. Find…

A: Let x and y be the sides of two squares. According to the given, Sum of the areas of two squares =…

Q: The sum of squares of two numbers is 100. the sum of the numbers is 2. find the numbers?

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Q: The sum of the squares of two positive numbers is 29 and the difference of the squares of the…

A: Suppose that the numbers are x and y. Then given that

Q: The sum of two numbers is 17 and the sum of their squares is 157. Find the numbers.

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Q: The sum of the squares of two numbers is 24. The difference of the squares of the number is 8 . find…

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Q: The difference of two numbers is 3. Their sum is 13. Find the numbers.

A: The difference of two numbers is 3. Their sum is 13. Find the numbers.

Q: The sum of the squares of two positive numbers is 157. The difference of their squares is 85. Find…

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Q: The sum of squares of two numbers is 32. The difference of the squares of the number is 18. Find the…

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Q: The sum of two numbers is 45 and the difference is 9 what are the numbers  Large numbers: smaller…

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Q: The difference between the squares of two numbers is 3. Twice the square of the first number…

A: Given that The difference between the squares of two numbers is 3. Twice the square of the first…

Q: The sum of a positive number and twice its square is 11.88. What is the number.

A: Given, let us take a positive number be

Q: The sum of the squares of two negative numbers is 106 and the difference of the squares of the…

A: To find the both negative numbers.

Q: The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find…

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Q: The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number.

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Q: The sum of two numbers is eighty seven. The larger number is seventeen less than three times the…

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Q: The product of two numbers is 25. What is the smallest possible sum of their squares?

A: Given information: The product of two numbers is 25.  Calculation: Consider x and y are two numbers.…

Q: The difference of two positive numbers is 2 and the difference of their squares is 44. Find the…

A: Let x and y are those two positive numbers and x>y.So, x-y=2 and x^2-y^2=44

Q: the sum of two numbers is 15.  One of the numbers is twice the second number minus 9.

A: Given: The sum of the two number is 15 and one of the number is twice the second number minus 9. To…

Q: The difference between the squares of two numbers is 5. Twice the square of the second number…

A: It is given that, The difference between the squares of two numbers is 5. Twice the square of the…

Q: The sum of 2 numbers is 14. If the difference of their squares is 56. What are the numbers?

A: Given,  Sum of 2 numbers = 14 difference of 2 numbers = 56 let x, y be 2 numbers

Q: The sum of two numbers is 15. One of the numbers is 12 times the other. Find the bigger number

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Q: The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is…

A: Given- The larger of two numbers is 10 less than twice the smaller number and the sum of the two…

Q: The difference of two positive numbers is 6 and the sum of their squares is 50. Find the numbers.…

A: In this question we have to find the bigger and the smaller number.

Q: The sum of four times the number of Mandy's dolls and twice the number of her teddy bears is 26. She…

A: Let the number of Mandy's dolls be "x" and the number of her teddy bears be "y". According to the…

Q: The length of a rectangular floor is two meters more than twice its width. If a diagonal of the…

A: Let width of the rectangular floor is = x meters so Length = 2x+2 meters

Q: The sum of two numbers is 16. The sum of their squares is 146. Find the two numbers. IS

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Q: The sum of 2 numbers is 45. One number is 4 times as large as the other. What are the numbers

A: Let the numbers be x and y Sum of the numbers is 45 Therefore, x+y=45   ...(1)

Q: The difference of the square of a number and 24 is equal to 5 times that number. Finc the negative…

A: let us consider the number is x then according to given condition the difference of x2 and 25 will…

Q: Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the…

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Q: The sum of the squares of two negative numbers is 145 and the difference of the squares of the…

A: Given,The sum of the squares of two negative numbers is 145 and the difference of the squares of the…

Q: The sum of a number and 6 is 8 more than twice the number the equation that could be used to find…

A: Given: The sum of a number and 6 is 8 more than twice the number.

Q: Sum of two numbers is 5 and their difference is 13.find the numbers

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Q: The sum of two numbers is 14.If the product of these numbers is 48,what are the numbers?

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Q: The sum of the two numbers is 15 . If the sum of their reciprocals is (3/10). Find the numbers

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Q: The sum of the squares of two negative numbers is 97 and the difference of their squares is 65. Find…

A: Let the two numbers be x and y (both negative) respectively.Then we have

Q: The difference between two numbers is 5. The sum of the larger number and twice the smaller number…

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Q: The sum of two numbers is 27. Their difference is 3. Find the numbers

A: Let x and y be required numbers. Given that their sum is 27, therefore,x+y=27...............(1) Also…

Q: The sum of the page numbers on two facing pages is 245. The product of the numbers is 15006. What…

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Q: The sum of a number and its square is 56. Find the number.

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.