Sunday Afternoon Maths LXIV
Posted on 2018-05-06
The picture below shows two copies of the same rectangle with red and blue lines. The blue line visits the midpoint of the opposite side. The lengths shown in red and blue are of equal length.
What is the ratio of the sides of the rectangle?
Ted thinks of a three-digit number. He removes one of its digits to make a two-digit number.
Ted notices that his three-digit number is exactly 37 times his two-digit number. What was Ted's three-digit number?
If A, B, C, D and E are all unique digits, what values would work with the following equation?$$ABCCDE\times 4 = EDCCBA$$