A wood board 250 centimeters long is cut into five pieces: three short ones of equal length and two that are both 15 centimeters longer than the shorter ones. what are the lengths of the boards?

The 250 cm board is cut into 5 pieces.

since three short pieces are of equal length, lets name each piece as 'x'

the longer ones are 15 cm longer than shorter ones so we can name them as 'x + 15'

the sum of these pieces are 250

x + x + x + (x+15) + (x + 15) = 250

3x + 2x + 30 = 250

5x = 250 - 30

5x = 220

x = 44 cm

length of a short piece - 44 cm

length of long piece - 44 + 15 = 59 cm