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Question

Indian cricket team won 4 more matches than it lost with New Zealand If it won $$\displaystyle\frac{3}{5}$$ of its matches how many matches did India play


A
8
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B
12
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C
16
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D
20
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Solution

The correct option is D 20
Let the number of matches lost = x
Number of matches won = x + 4
Total matches played = x + x +4
                                   = 2x + 4
We have,
x + 4 = $$\displaystyle\frac{3}{5}\left ( 2x + 4 \right )$$
5x + 20 = 6x + 12
x = 8
$$\displaystyle\therefore $$ total matches played = 2x + 4
$$\displaystyle= 2\left ( 8 \right )+ 4= 20$$

Mathematics

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