J and K are playing some cricket matches. If K wins , then J would have
won the same no. of matches as K. But if J wins the match , then till now he would
have won twice the number of matches won by K . Find the number of matches they
have each won till now.
2006-09-14 11:29:38 · 3 answers · asked by Anonymous in Education & Reference ➔ Higher Education (University +)
Simple. Let the letter j represent the number of matches J has won and k represent the number of matches K has won so far.
Now, if K wins, the J would have won the same number of matches as K. This translates to the equation k + 1 = j.
If J wins, then J would have won twice the number of matches as K. This translates to the equation j + 1 = 2k.
Now that you have 2 equations, you can solve them simultaneously:
Substitute k + 1 = j into j + 1 = 2k, you get: (k + 1) + 1 = 2k
Therefore, k + 2 = 2k, and solving this equation, k = 2. Substitute this back into one of the original equations and you get j = 3.
Hope you can understand. Besides, this is grade 8 maths. Why are you asking this in Higher Education forum!!??
2006-09-14 15:33:45 · answer #1 · answered by Vincent 3 · 1⤊ 0⤋
i actually don't believe this question has a proper answer
2006-09-14 11:32:12 · answer #2 · answered by Southie9 5 · 0⤊ 0⤋
one!
2006-09-14 11:31:40 · answer #3 · answered by justlivinglife 2 · 0⤊ 0⤋