A cricket team won 3 matches more than they lost. If a win give them 2 points and loss -1 point , how many, in all, have they played if their score is 23. EXPLAIN IT NEATLY

2
by mukesh3

• qais
• Content Quality
2016-03-28T16:30:47+05:30

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Let matches won be W
and matches lost be L
A/q
won 3 matches more than they lost,
⇒W = L+3_____(1)
and, total points is 23
⇒w×2 + L×(-1)= 23
⇒2W -L = 23
putting the value of W from (1),
2(L+3)-L =23
⇒2L +6 -L =23
⇒L = 23-6 = 17
⇒L=7
so, W= 17 +3 = 20
Total matches = W +L = 20 +17 = 37 matches
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2016-03-28T16:49:44+05:30
Let matches won be W
and matches lost be L
A/q
won 3 matches more than they lost,
⇒W = L+3_____(1)
and, total points is 23
⇒w×2 + L×(-1)= 23
⇒2W -L = 23
putting the value of W from (1),
2(L+3)-L =23
⇒2L +6 -L =23
⇒L = 23-6 = 17
⇒L=7
so, W= 17 +3 = 20
Total matches = W +L = 20 +17 = 37 matches