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
B
12
C
16
D
20

Solution

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

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