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Pavla is 2x older than Irena. Four years ago, Pavla was 6 times older than Irena was then. In how many years will the ages of Pavla and Irena be in the ratio of 4:3? Thanks

Correct answer:

x =  10

Step-by-step explanation:

p=2i p4=6(i4)  p=2 i p4=6 (i4)  2ip=0 6ip=20  Pivot:Row1Row2 6ip=20 2ip=0  Row262 Row1Row2 6ip=20 0.67p=6.67  p=0.666666676.66666667=10 i=620+p=620+10=5  i=5 p=10  (p+x):(i+x) = 4:3  3 (p+x)=4 (i+x) 3 (10+x)=4 (5+x)  x=10  x=110=10  x=10

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