Problema Solution

Two lengths of board total 48 in. If one board is 17 in. Shorter than the other, find the length of each board

Answer provided by our tutors

let


l1 = the length of the first board

l2 = the length of the second board


two lengths of boards total 48 in


l1 + l2 = 48


one board is 17 in shorter than the other


l1 = l2 - 17


by solving the system of equations


l1 + l2 = 48

l1 = l2 - 17


we find


l1 = 15.5 in


l2 = 32.5 in


the lengths of each board are 15.5 in and 32.5 in.