bindiyajoisher wrote:
The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 200, how many such sequences can be formed?
(A)12
(B)17
(C)25
(D)33
(E)50
Four consecutive odd numbers =\((2x-3), (2x-1), (2x+1), (2x+3)\) .
Three consecutive even numbers =\((2y-2), 2y, (2y+2)\) .
\( (2x-3) + (2x-1) + (2x+1) + (2x+3) = (2y-2)\)
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