If I had one more sister I would have twice as many sisters as brothers. If I had one more brother I would have the same number of each. How many brothers and sisters have I?
OPtion
1) 2 sisters and 3 brothers
2) 1 sister and 4 brothers
3) 3 sisters and 3 brother
4) 3 sisters and 2 brothers
5) 4 sisters and 2 brothers
6) 3 sisters and 1 brother
7) 1 sisters and 2 brothers
8) 1 sister and 1 brothers
9) 1 sister and 3 brothers
10)None of these
Solution
let x be the number of sisters and
y the number of brothers:
x+ 1= 2y
y+ 1= x
Therefore, y + 1+ 1= 2y
so y =2
or x + 1= 2x - 2
so x = 3
Three sisters and two brothers
Option 4)