Number System Ques 36
Question
The sum of three consecutive odd numbers and three consecutive even numbers together is 231 . The difference between the smallest odd number and the smallest even number is 11 . What is the sum of the largest even number and the largest odd number?
(1) 67
(2) 79
(3) 81
(4) 93
(5) 101
Show Answer
Answer: (3)
Solution: (3)
Let, consecutive odd numbers $\Rightarrow x-2, x$ and $x+2$
Let, connsecutive even numbers $\Rightarrow y-2, y$ and $y+2$
According to the question,
$3 x+3 y=231 \Rightarrow 3(x+y)=231$
$\Rightarrow x+y=\frac{231}{3}=77$
Again, $(y-2)-(x-2)=11$
$y-x=11$
Adding equations (i) and (ii)
$2 y=88 \Rightarrow y=44$
From equation (i),
$x+44=77$
$\Rightarrow x=77-44$ $=33$
Sum of the largest even number and odd number $=x+2+y+2$ $=46+35=81$
BETA
