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Three friends whose ages form a G.P. divide a certain sum of money in proportion to their ages. If they do that three years later, when the youngest is half the age of the oldest, then he will receive 105 rupees more that the he gets now and the middle friends will get 15 rupees more that he gets now, then ages of the friends are

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The correct Answer is:
`12,18,27`
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RESONANCE ENGLISH-SEQUENCE & SERIES -EXERCISE -1 PART -I RMO
  1. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

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  2. The sum of three numbers in A.P. is 27, and their product is 504, find...

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  3. Three friends whose ages form a G.P. divide a certain sum of money in ...

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  4. The roots of the equation x ^(5) - 40 x ^(4) + ax ^(3) + bx ^(2) + cx ...

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  5. Let T(n) denotes the n ^(th) term of a G.P. with common ratio 2 and (l...

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  6. If a, b, c are in A.P. and if (b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(...

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  7. Along a road lies an odd number of stones placed at intervals of 10 m....

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  8. a,b,c are positive real numbers forming a. G.P. If ax ^(2) + 2 bx + c=...

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  9. Determine all pairs (a,b) of real numbers such that 10, a,b,ab are in ...

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  10. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

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  11. If n is any positive integer, then find the number whose square is und...

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  12. Find the sum of infinite terms of the series : (3)/(2.4) + (5)/(1.4.6)...

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  13. If S (1), S (2) , S (3)……., S (2n) are the sums of infinite geometric ...

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  14. Find the nth terms and the sum to n term of the series : 1^(2)+(1^(2...

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  15. Let a (j) = (7)/(4) ((2)/(3)) ^( j -1), j in N. lf b (j) = a (j) ^(2...

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  16. The sequence 9, 18, 27, 36, 45, 54,….. consists of successive mutiple ...

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  17. As show in the figure , the five circles are tangent to one another co...

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  18. The arithmaeic mean of the nine numbers in the given set {9,99,999,….....

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  19. Let a sequence whose n^(th) term is {a(n)} be defined as a(1) = 1/2 ...

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  20. If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2...

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