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# If X: Y = 4: 7, Find the Value of (3x + 2y): (5x + Y). - ICSE Class 10 - Mathematics

#### Question

If x: y = 4: 7, find the value of (3x + 2y): (5x + y).

#### Solution

x : y = 4 : 7

=> x/y = 4/7

(3x + 2y)/(5x + y) = (3(x/y) + 2)/(5(x/y) + 1)      (Dividing each term by y)

= (3(4/7) + 2)/(5(4/7) + 1)

= (12/7 + 2)/(20/7 +1)

= (12 + 14)/(20 + 7)

= 26/27

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#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7A | Q: 2

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Solution If X: Y = 4: 7, Find the Value of (3x + 2y): (5x + Y). Concept: Ratios.
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