Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $\frac{(17)^3+(7)^3}{\left(17^2+7^2-k\right)}=24$, then what is the value of k ?

Options:

119

128

24

109

Correct Answer:

119

Explanation:

a3 + b3 = ( a + b ) ( a2 + b2 - ab )

( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)

If $\frac{(17)^3+(7)^3}{\left(17^2+7^2-k\right)}=24$

By comparing the values from both of the equation we get = 

a = 17

b = 9

ab = 17 × 9 =  119