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a) 7
b) 4
c) 3
d) 2
correct answer is: d) 2
Explanation
\left(4x+5\right)\ ∶\ \left(3x+11\right)\ =\ 13\ ∶\ 17
\rightarrow\ \frac{\left(4x\ +\ 5\right)}{\left(3x\ +\ 11\right)}\ =\ \frac{13}{17}
\rightarrow17\left(4x+5\right)\ =\ 13\left(3x\ +\ 11\right) [cross multiply]
\rightarrow\ 68x+85\ =\ 39x+143
\rightarrow68x-39x=143-85 [interchange]
\rightarrow29x=58
\rightarrow x=\frac{58}{29}
\rightarrow x=2
\therefore The value of ‘x’ is 2.
Ans: 2.
