Out of six consecutive natural numbers if the sum of first three is 27, what is the sum of the other three? · ABC26GN1714
Subject: General Aptitude · Chapter: Problems on Numbers · Exam: S.S.C. 2010
Out of six consecutive natural numbers if the sum of first three is 27, what is the sum of the other three?
(a)24
(b)25
(c)35
(d)36
Answer
Answer (as printed): D
Explanation
Let the six numbers be $x, x+1, x+2, x+3, x+4$ and $x+5$. Then, $x+(x+1)+(x+2)=27 \Rightarrow 3 x+3=27$. Required sum $=(x+3)+(x+4)+(x+5)$ $$=3 x+12=(3 x+3)+9=27+9=36 .$$
Explanation as extracted from the printed page; notation may be imperfect.