# If a B = 2 3 Then Find the Value of the Following Expression - Algebra

Sum

If a/b = 2/3  then find the values of the following expression

[a^3 + b^3]/b^3

#### Solution

a/b = 2/3

⇒ a^3/b^3 = 8/7                          ........( Cubing both sides)

Applying componendo, we get

[a^3 + b^3]/b^3 = [8 + 27]/27

[a^3 + b^3]/b^3 = 35/27

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#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Problem Set 4 | Q 8.3 | Page 78