Together 70014

Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton.

Final Answer:

M =  34.5714
A =  9.4286

Step-by-step explanation:

M+A=44 M=2 (Ax) (Mx)=0.5 (A+y) (A+y)=3 (Mz) (Mz)=3 A  A+M=44 2AM2x=0 0.5AM+x+0.5y=0 A3M+y+3z=0 3AM+z=0  Pivot:Row1Row5  Row232 Row1Row2 0.33333M2x0.66667z=0  Row330.5 Row1Row3 0.83333M+x+0.5y0.16667z=0  Row431 Row1Row4 2.66667M+y+2.66667z=0  Row531 Row1Row5 1.33333M0.33333z=44  Pivot:Row2Row4  Row32.666666670.83333333 Row2Row3 x+0.1875yz=0  Row42.666666670.33333333 Row2Row4 2x0.125yz=0  Row52.666666671.33333333 Row2Row5 0.5y+z=44  Pivot:Row3Row4  Row421 Row3Row4 0.125y1.5z=0  Pivot:Row4Row5  Row50.50.125 Row4Row5 1.75z=11  z=1.7511=6.28571429 y=0.544z=0.5446.28571429=75.42857143 x=20+0.125y+z=20+0.125 75.42857143+6.28571429=7.85714286 M=2.666666670y2.6666666666667z=2.66666667075.428571432.66666667 6.28571429=34.57142857 A=30+Mz=30+34.571428576.28571429=9.42857143  A=7669.428571 M=724234.571429 x=7557.857143 y=752875.428571 z=7446.285714



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