# If a B = 7 3 Then Find the Value of the Following Ratio. - Algebra

Sum

If (a^3 - b^3)/b^3 then find the value of the following  ratio.

#### Solution

a/b = 7/3
⇒ a/7 = b/3 = k
⇒ a = 7k , b = 3k

therefore (a^3 - b^3)/b^3
= {(7k)^3 - (3k)^3}/(3k)^3

= {343k^3 - 27k^3}/{27k^3}

= (316k^3)/(27k^3)

= (316)/(27)

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#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.3 | Q 1.3 | Page 70