Let G be the sum of ages of girls & B be the sum of ages of boys. The question statment says that G-B=17

Stmt 1: B/x - G/y = 11 (where 'x' is the number of boys & 'y' is the number of girls). Does not help.

Stmt 2: B/x = 16. Is not sufficient by itself.

Combining Stmt 1 & 2, G/y=5. Does not help either.

My answer is E.

Very interesting one!!!!.

Great Job Sanju. keep it coming!!!>

I got C as the answer.
number of boys = 3 and number of girls = 13.

If this is correct, I will post the xplanation.

Gosh really cool question Sanju

One more vote for C.

G: sum of ages of girls
g: number of girls
B: sum of ages of boys
b: number of boys

Given: G = 17+B

St1. B/b = G/g+11
St2. B/b = 16

Combining 1 and 2

16 = G/g + 11
G/g = 5
G =5g

B = 16b

5g = 17 + 16b

Now we need to find a minimum value.
Plug in values for b

When b = 0, 1 and 2
g will not be an integer.

Only when b = 3, g will be 13.

So the minimum value for b=3

Thanks Mals for the excellent explanation.
I went thru the same path!!!, and took more than 2 mins to
arrive at the answer.

I think this is a 700 level question.
What do u guys think ?

rgds
-V