Question

The sum of $7$ consecutive positive integers is equal to the sum of the next five consecutive integers, What is the largest among the $12$ numbers ?

• A. $24$
• B. $23$
• C. $22$
• D. $21$

Answer 1

Answer: (B)

$23$

Let the smallest number is x then according to the question-
$x+x+1+x+2+x+3+x+4+x+5+x+6=x+7+x+8+x+9+x+10+x+11$
$7x+21=5x+45$
$2x=24$
$x=12$
Hence largest number$=x+11\Rightarrow 12+11=23$