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If (3a+2b):(5a+3b)=18:29. Find a:b....

If `(3a+2b):(5a+3b)=18:29`. Find `a:b`.

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Verified by Experts

The correct Answer is:
(i) `a:b=4:3`
(ii) `12:19`
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ICSE-RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)-QUESTIONS
  1. If (3a+2b):(5a+3b)=18:29. Find a:b.

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  2. if a : b = 5 : 3, find (5a + 8b) : (6a - 7b).

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  3. Two numbers are in the ratio 3 : 5. If 8 is added to each number, the ...

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  4. (i) What quantity must be added to each term of the ratio 8 : 15 so th...

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  5. The work done by (x - 3) men in (2x + 1) days and the work done by (2x...

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  6. When the fare of a certain journey by an airliner was increased in the...

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  7. In a regiment, the ratio of number of officers to the number of soldie...

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  8. if (a)/(b + c) = (b)/(c + a) = (c)/(a + b) and a + b + c = 0: show tha...

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  9. if (a)/(b + c) = (b)/(c + a) = (c)/(a + b) and a + b + c ne 0, show th...

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  10. Find the compound ratio of : (i) 3a : 2b, 2m : n and 4x : 3y ...

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  11. Find the ratio compounded of the duplicate ratio of 5 : 6, the recipro...

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  12. Find : (i) the fourth proportional to 3, 6 and 4.5. (ii) the mean ...

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  13. Quantities a, 2, 10 and b are in continued proportion, find the values...

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  14. What number should be subtracted fram each of the numbers 23, 30, 57 a...

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  15. What should be added to each of the numbers 13, 17 and 22 so that the ...

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  16. if (a^(2) + c^(2)), (ab + cd) and (b^(2) + d^(2)) are in continued pro...

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  17. if p: q :: r, prove that p : r = p^(2): q^(2).

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  18. if a ne b and a : b is the duplicate ratio of a + c and b + c, prove t...

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  19. if a + c = mb and (1)/(b)+ (1)/(d) = (m)/(c), prove that a, b, c and d...

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  20. if q is the mean proportional between p and r, prove that : p^(2) -...

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