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.

Correct 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 3AM+z=0 2AM2x=0 0.5AM+x+0.5y=0 A3M+y+3z=0 A+M=44  Row232 Row1Row2 3AM+z=0 0.33333M2x0.66667z=0 0.5AM+x+0.5y=0 A3M+y+3z=0 A+M=44  Row330.5 Row1Row3 3AM+z=0 0.33333M2x0.66667z=0 0.83333M+x+0.5y0.16667z=0 A3M+y+3z=0 A+M=44  Row431 Row1Row4 3AM+z=0 0.33333M2x0.66667z=0 0.83333M+x+0.5y0.16667z=0 2.66667M+y+2.66667z=0 A+M=44  Row531 Row1Row5 3AM+z=0 0.33333M2x0.66667z=0 0.83333M+x+0.5y0.16667z=0 2.66667M+y+2.66667z=0 1.33333M0.33333z=44  Pivot:Row2Row4 3AM+z=0 2.66667M+y+2.66667z=0 0.83333M+x+0.5y0.16667z=0 0.33333M2x0.66667z=0 1.33333M0.33333z=44  Row32.666666670.83333333 Row2Row3 3AM+z=0 2.66667M+y+2.66667z=0 x+0.1875yz=0 0.33333M2x0.66667z=0 1.33333M0.33333z=44  Row42.666666670.33333333 Row2Row4 3AM+z=0 2.66667M+y+2.66667z=0 x+0.1875yz=0 2x0.125yz=0 1.33333M0.33333z=44  Row52.666666671.33333333 Row2Row5 3AM+z=0 2.66667M+y+2.66667z=0 x+0.1875yz=0 2x0.125yz=0 0.5y+z=44  Pivot:Row3Row4 3AM+z=0 2.66667M+y+2.66667z=0 2x0.125yz=0 x+0.1875yz=0 0.5y+z=44  Row421 Row3Row4 3AM+z=0 2.66667M+y+2.66667z=0 2x0.125yz=0 0.125y1.5z=0 0.5y+z=44  Pivot:Row4Row5 3AM+z=0 2.66667M+y+2.66667z=0 2x0.125yz=0 0.5y+z=44 0.125y1.5z=0  Row50.50.125 Row4Row5 3AM+z=0 2.66667M+y+2.66667z=0 2x0.125yz=0 0.5y+z=44 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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