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Of the four given equations, the first three are solved on the basis of a certain system, where the function of the shape " " remains the same. Fin
Question

Of the four given equations, the first three are solved on the basis of a certain system, where the function of the shape " " remains the same. Find the correct answer for the unsolved fourth equation on the same basis.

A.

(ab+b)a\frac{(ab + b)}{a}​​

B.

(ab)ab\frac{(a - b)}{ab}​​

C.

(ab+b)b\frac{(ab + b)}{b}

D.

ab(a+b)\frac{ab}{(a + b)}

Correct option is C

in option (a )we put value of  a=7 and b=3 

(ab+b)a\frac{(ab + b)}{a}=​(21+3)7\frac{(21+ 3)}{7} ≠8

in option (b )we put value of  a=7 and b=3 

(ab)ab\frac{(a - b)}{ab}=​(73)21\frac{(7 - 3)}{21}  ≠8

in option (c )we put value of  a=7 and b=3 

(ab+b)b\frac{(ab+b)}{b}=​(21+3)3\frac{(21+3)}{3} =243\frac{24}{3}=8​

in option (d )we put value of  a=7 and b=3 

aba+b\frac{ab}{a+b}=2110\frac{21}{10} ≠8

so only option c gives answer correctly.




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