IBPS Clerk Prelims 2017 Paper

(a) Let least even number = x
Consecutive even numbers
⇒x,x+2,x+4,x+6
Let least odd number = y
Consecutive odd numbers =y,y+2,y+4
According to question,
[x+(x+2)+(x+4)+(x+6)]–[y+(y+2)+(y+4)]=81
4x+12–3y–6=81
4x–3y=75...(i)
Now, sum of smallest even and odd numbers
x+y=59...(ii)
Solving (i) and (ii)x = 36, y = 23
Now sum of largest even number and largest odd
number ⇒(36+6)+(23+4)=69