Sachin9 wrote:
Bunuel,
how to solve this using algebraic approach?
Regards,
Sach
Let me give it a try.
Say the first term of the progression, i.e. the least of the integers is a. Hence n-th term of the progression, i.e. the largest of the integers will be [a + 2(n - 1)].
Therefore, Range = Max - Min = [a + 2(n - 1)] - a = 2(n - 1)
and, Arithmetic Mean = (Max + Min)/2 = [a + 2(n - 1) + a]/2 = [a + (n - 1)]
Now, [a + (n - 1)] = 10 => (a + n) = 11
Thus, we can determine the value of a, once we know the value of n.
Statement 1: Range = 14
Hence, 2(n - 1) = 14
=> n = 8 => We can determine the value of a.
Sufficient
Statement 2: [a + 2(n - 1)] = 17
We have two equations in two unknowns. Hence, we can determine the value of a.
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Please +1 KUDO if my post helps. Thank you.