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The sum of two natural number is 28 and ...

The sum of two natural number is 28 and their product in 192. Find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
16 and 12
Let the required numbers be x and `(28-x).`
Then, `x(28-x)=192.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4E
  1. The sum of a natural number and its square is 156. Find the number.

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  2. The sum of a natural number and its positive square root is 132. Find ...

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  3. The sum of two natural number is 28 and their product in 192. Find the...

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  4. Find two consecutive positive integers, sum of whose squares is 365...

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  5. The sum of the squares of two consecutive positive odd numbers is 514....

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  6. The sum of the squares of two consecutive positive even numbers is 452...

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  7. The product of two consecutive positive integers is 306. Form the q...

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  8. Two numbers differ by 3 and their product is 504. Find the number.

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  9. Find two consecutive multiples of 3 whose product is 648.

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  10. The product of two consecutive odd numbers in 483. Find the numbers.

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  11. Find two consecutive positive even integers whose product is 288.

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  12. The sum of two natural numbers is 9 and the sum of their reciprocals i...

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  13. The sum of two numbers a and b is 15, and the sum of reciprocal of num...

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  14. The difference of two natural numbers is 3 and the difference of th...

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  15. The difference of two natural numbers is 5 and the difference of their...

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  16. The sum of the squares of two consecutive multiples of 7 is 1225. Find...

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  17. The sum of a natural number and its reciprocal is (65)/(8). Find the n...

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  18. Divide 57 into two parts whose product is 680.

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  19. Divide 27 into two parts such that the sum of their reciprocals is 3/2...

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  20. Divide 16 into two parts such that twice the square of the larger p...

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