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If (4x + 3y) : (3x + 5y) = 6 : 7, Find Y, If X = 27 - Mathematics

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Question

If (4x + 3y) : (3x + 5y) = 6 : 7, find y, if x = 27

Sum
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Solution

(4x + 3y) : (3x + 5y) = 6 : 7

Given, x = 27

∴ (4 × 27 + 3y) : (3 × 27 + 5y) = 6 : 7

(108 + 3y) : (81 + 5y) = 6 : 7

7 × (108 + 3y) = 6 × (81 + 5y)

756 + 21y = 486 + 30y

9y = 270

⇒ y = `270/9=30`

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Chapter 12: Proportion (Including Word Problems) - Exercise 12 (B)

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Selina Mathematics [English] Class 6
Chapter 12 Proportion (Including Word Problems)
Exercise 12 (B) | Q 6.3
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