Algorithms Quiz | SP2 Contest 1 | Question 37

Sum of first 3 consecutive numbers in an AP is 51 and product of the first and last number is 288. Find the numbers.

(A) 17, 18 and 19
(B) 16, 17 and 18
(C) 15, 16 and 17
(D) None of the above

Answer: (B)
Explanation: Let the numbers are a – d, a and a + d.
According to question sum of numbers = 51.
I.e. 3a = 51
=> a = 17
Product of their extreme is 288, i.e.,
=> (a – d) * (a + d) = a^2 + b^2 = 17^2 + d^2 = 288
=> d = 1
Numbers are 16, 17 and 18.
So, option (B) is correct.
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