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Maharashtra State BoardSSC (English Medium) 9th Standard

If ab=73 then find the value of the following ratio. 5a+3b5a-3b - Algebra

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Question

If `bb(a/b = 7/3)` then find the value of the following ratio.

`(5a + 3b)/( 5a - 3b)`

Sum

Solution

`a/b = 7/3`   ...[Given]

Let the common multiple be k.

⇒ a = 7k, b = 3k

` therefore (5a + 3b)/(5a - 3b)`

= `(5 xx 7k + 3 xx 3k)/(5xx7k -3 xx 3k)`

= `(35k + 9k)/(35k - 9k)`

= `(44k)/(26k)`

= `22/13`

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Operations on Equal Ratios
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Chapter 4: Ratio and Proportion - Practice Set 4.3 [Page 70]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.3 | Q (1) (i) | Page 70
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