Find the fourth consecutive even number:
(I) The sum of the last two numbers is 30
(II) The sum of the first two numbers is 22
(I) The sum of the last two numbers is 30
(II) The sum of the first two numbers is 22
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please explain, how do we know the no. of numbers are there in the sequence.Vemuri wrote:IMO D
Let the 4 consecutive numbers be a, a+2, a+4, a+6
Stmt1: Sum of last 2 numbers, i.e. (a+4) + (a+6) = 30 ==> 2a+10 = 30 ==> a = 10. So, the fourth even number is a+6 ==> 16. Sufficient.
Stmt2: Sum of first 2 numbers, i.e. a + (a+2) = 22 ==> 2a+2 = 22 ==> a = 10. So, the fourth even number is a+6 ==> 16. Sufficient.
I am making a lot of silly mistakes today. My bad. I agree with kic883's explanation. The answer should be B.ketkoag wrote: please explain, how do we know the no. of numbers are there in the sequence.
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