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The A.M. of two integral numbers exceeds...

The A.M. of two integral numbers exceeds their G.M. by 2 and the ratio of the numbers is 1 : 4. Find them.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The A.M. and G.M. of two positive numbers are 25 and 24 respectively. ...

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  2. The A.M. and G.M. of two positive numbers are 15 and 9 respectively...

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  3. The A.M. of two integral numbers exceeds their G.M. by 2 and the ratio...

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  4. The sum of two positive numbers is 13 and their G.M. is 6. Find them.

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  5. The difference of two positive numbers is 64 and the difference of the...

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  6. The sum of A.M. and G.M. of two positive numbers is 32 and the ratio...

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  7. The sum of A.M. and G.M. of two positive numbers is 96 and the ratio...

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  8. The A.M. of two positive numbers is 26. If the sum of the two numbers ...

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  9. The ratio of A.M. and G.M. of two positive numbers is 5:4. If the diff...

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  10. The difference between the arithmetic mean and geometric mean of two p...

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  11. If G.M. of a and b is (a^(n+1)+b^(n+1))/(a^n+b^n),then prove that n=-1...

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  12. If G.M. of a and b is (a^n+b^n)/(a^(n-1)+b^(n-1)) then prove that n=1/...

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  13. If 'g' be the GM and p and q be the two A.M.'s between two given numb...

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  14. If A be the A.M. of two given numbers and g1 and g2 be two G.M.'s betw...

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  15. a, b, c are in A.P. If x be the G.M. of a and b, and y be the G.M. of ...

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  16. Prove that the product of n G.M.’s between a and b is (ab)^(n/2)

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  17. The A.M. of two positive numbers a and b is twice their G.M. Prove tha...

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  18. If A and G be the A.M. and G.M. of two numbers a and b and A:G=m:n,the...

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  19. Find the sum of the following series 1 + 2 + 4….. to tenth term.

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  20. Find the sum of the following series 1 + 3 + 9….... to tenth term

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