Random Puzzles 

Workings

Hint
The answer isn't very large at all.

Answer
There are four boys and six girls in the family.

If there were B boys, and G girls we know that Billy has twice as many sisters as brothers, so 2 x (b - 1) = g.

And his sister, Frankie, has one more sister than she has brothers, so g - 1 = b + 1.
    2(b - 1) = g       [1]
       g - 1 = b + 1   [2]

Using [1] in [2] gives:

2(b - 1) - 1 = b + 1

Expanding the bracket gives:

  2b - 2 - 1 = b + 1

Simplifying the left hand side gives:

     2b - 3  = b + 1

Add 3 to each side gives:

          2b = b + 4

Subtract b from both sides gives:

           b = 4

Using b = 4 in [1] gives:

    2(4 - 1) = g

           6 = g

Workings

Hint
Work out how many each can eat in one minute.

Answer
53 minutes.

Reasoning
In one minute, Eddie eats 11 bananas (= 110 ÷ 10).

In one minute, Hugo eats 7 bananas (= 56 ÷ 8).

So in total, they eat 18 bananas every minute.

So it will take 954 ÷ 18 = 53 minutes.

Workings

Hint
One of the words begins with the letter S.

Answers
-s-g- = usage --r-f = serif -zu-- = azure e--x- = epoxy -p--c = optic --ln- = kilns -w--m = swarm ---jo = banjo q---a = quota -v-k- = evoke i--h- = itchy -b-y- = obeys --dt- = width

Workings

Hint
Look at the tops of the towers.

Answer
Add the two lines to the second tower from the left to complete the 'X' in the inverted letter sequence U, V, W, X, Y forming the towers' roofs.