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If a : b = 3 : 5, find : (10a + 3b) ...

If `a : b = 3 : 5`, find :
`(10a + 3b) : (5a +2b)`

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The correct Answer is:
`9:5`
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ICSE-RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)-Exercise 7(D)
  1. If a : b = 3 : 5, find : (10a + 3b) : (5a +2b)

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  2. If 5x + 6y : 8x + 5y = 8 : 9, find : x : y.

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  3. If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y), find : x : y.

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  4. Find the : (i) duplicate ratio of 2sqrt(2) : 3sqrt(5) (ii) tr...

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  5. Find the value of x, if : (i) (2x + 3) : (5x - 38) is the duplicat...

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  6. What quantity must be added to each term of the ratio x : y so that it...

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  7. A woman reduces her weight in the ratio 7 : 5. What does her weight be...

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  8. If 15(2x^(2) - y^(2)) = 7xy, find x : y, if x and y both are positive...

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  9. Find the : (i) fourth proportional to 2xy, x^(2) and y^(2). (i...

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  10. Find two numbers such that the mean proportional between them is 14 an...

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  11. If x and y be unequal and x : y is the duplicate ratio of x + z and y ...

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  12. If x = (2ab)/(a + b), find the value of : (x + a)/(x - a) + (x + b)/(x...

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  13. If (4a + 9b) (4c - 9d) = (4a - 9b) (4c + 9d), prove that : a : b = c :...

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  14. If (a)/(b) = (c)/(d), show that : (a + b) : (c + d) = sqrt(a^(2) + b^...

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  15. There are 36 members in a student council in a school and the ratio of...

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  16. If 7x - 15y = 4x + y, find the value of x: y. Hence, use componendo an...

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  17. If (4m + 3n)/(4m - 3n) = (7)/(4) use properties of proportion to find ...

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  18. If x, y, z are in continued proportion, prove that : ((x + y)^(2))/((y...

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  19. Given x = (sqrt(a^(2) + b^(2)) + sqrt(a^(2) - b^(2)))/(sqrt(a^(2) + b...

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  20. If (x^(2) + y^(2))/(x^(2) - y^(2)) = 2(1)/(8), find : (i) (x)/(y)...

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