The correct option is B 24
Let the greater number be x and smaller number be y.
x+y=35 ....(1)
x−y=13 .....(2)
On adding equations (1) and (2), we get
2x=48
⇒x=24
On substituting the value of x in equation (1), we get
24+y=35
⇒y=11
So, x=24 and y=11
Therefore, the greater number is 24.