# If 7x – 15y = 4x + Y, Find the Value of X: Y. Hence, Use Componendo and Dividend to Find the Values Of: (9x + 5y)/(9x - 5y) - Mathematics

If 7x – 15y = 4x + y, find the value of x: y. Hence, use componendo and dividend to find the values of:

(9x + 5y)/(9x - 5y)

#### Solution

7x – 15y = 4x + y

7x - 4x = y + 15y

3x = 16y

x/y = 16/3

=> (9x)/(5y) = 144/15    (Multiplying both sides by 9/5)

=> (9x + 5y)/(9x - 5y) = (144 + 15)/(144 - 15)       (Applying componendo and dividenfo)

=> (9x + 5y)/(9x - 5y) = (159)/(129) = 53/43

Concept: Componendo and Dividendo Properties
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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (D) | Q 16.1 | Page 102