SOLUTION: Hank, Laura, and Ned are ages h, l, and n, respectively. The sum of their ages is 15 years. Laura is one year younger than the sum of Hank and Ned's ages. Ned is three times as old

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Question 1171377: Hank, Laura, and Ned are ages h, l, and n, respectively. The sum of their ages is 15 years. Laura is one year younger than the sum of Hank and Ned's ages. Ned is three times as old as Hank. Use MATRICES to determine the age of each sibling.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Hank           h
Laura          L     h+n-1
Ned            n     3h
SUM           15

system%28h%2BL%2Bn=15%2CL=h%2Bn-1%2Cn=3h%29

system%28h%2BL%2Bn=15%2Ch-L%2Bn=1%2C3h%2B0-n=0%29----------This may be a way to start, if you insist on matrix. (Easier to solve without matrices).