In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
....
———————
75 | 796767
791
——
57
30
——
86
82
——
47
47
——
9
During the latest round of the BrainBashers school triathlon the final results were mislaid, however, this is what we do know.
Hayden was fourth. Alex was not the oldest but was older than Drew, who was not second. The child who was next in age to the youngest, finished second. The child who finished in third place was older than the child who finished first. Billie was younger than the child who finished in third place.
Can you determine who finished where and place the children in order of age?
Answer # Name Age
#1 Drew youngest
#2 Billie next to youngest
#3 Alex next to oldest
#4 Hayden oldest
Reasoning
By (2), neither Alex nor Drew were the oldest. By (5), neither was Billie. Therefore, Hayden was the oldest, and by (1) came fourth.
#1
#2
#3
#4 Hayden oldest
By (4) the youngest didn't come third, and by (3) the youngest didn't come second. Therefore, the youngest came first.
#1 youngest
#2
#3
#4 Hayden oldest
By (3), the next to youngest came second, leaving the next to oldest in third.
#1 youngest
#2 next to youngest
#3 next to oldest
#4 Hayden oldest
By (2), Drew wasn't second, but Alex was older, so Drew can't be third either. Therefore, Drew can only have come in first.
#1 Drew youngest
#2 next to youngest
#3 next to oldest
#4 Hayden oldest
By (5) Billie didn't come third, so came second. Leaving Alex in third.
#1 Drew youngest
#2 Billie next to youngest
#3 Alex next to oldest
#4 Hayden oldest
Hint
Try to find out where Mrs Umbrella lives first.
Answer
From, left to right:
#1 Mrs Scott - glass
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw - wood
Reasoning
If we separate and label the clues, and label the bungalows #1, #2, #3, #4 from left to right we can see that: Mrs Scott's bungalow is somewhere to the left of the wooden one.The third one along is brick.Mrs Umbrella owns a straw bungalowMr Tidsley does not live at either end.Mr Tidsley lives somewhere to the right of the glass bungalow.Mr Wilshaw lives in the fourth bungalow.The first bungalow is not made from straw.
By (6) Mr Wilshaw lives in the fourth bungalow.
#1
#2
#3
#4 Mr Wilshaw
By (3), Mrs Umbrella owns the straw bungalow. By (7) it isn't #1, by (2) it isn't #3, so it must be #2.
#1
#2 Mrs Umbrella - straw
#3
#4 Mr Wilshaw
By (4), Mr Tidsley must therefore live in #3, which, by (2) is the brick bungalow.
#1
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw
By (1), Mrs Scott's bungalow must be #1, and #4 must be the wooden one.
#1 Mrs Scott
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw - wood
This leaves #1 as the glass bungalow.
#1 Mrs Scott - glass
#2 Mrs Umbrella - straw
#3 Mr Tidsley - brick
#4 Mr Wilshaw - wood
