The sum of seven consecutive numbers is 175. What is the difference between twice the largest number and… · ABC26GN1715
Subject: General Aptitude · Chapter: Problems on Numbers · Exam: Bank Recruitment 2010
The sum of seven consecutive numbers is 175. What is the difference between twice the largest number and thrice the smallest number?
(a)7
(b)8
(c)10
(d)12
(e)None of these
Answer
Explanation
Let the seven numbers be $x, x+1, x+2, x+3, x+4$, $x+5$ and $x+6$. Then, $x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)$ $$+(x+6)=175$$ $\Leftrightarrow \quad 7 x+21=175 \Leftrightarrow 7 x=154$ $\Leftrightarrow \quad x=22$. Required difference $=2(x+6)-3 x=12-x$ $$=12-22=-10 .$$
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Problems on Numbers
· Browse this chapter in the app