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Robert and Steven had some pens in the ratio of 3:2. After Steven gave 8 pens to Robert, the ratio of the number of pens Robert had to the number Steven had became 13:2. How many pens did Robert have at first?

 Sep 10, 2021
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Let pens with Robert be 3x and pens with Steven be 2x

After Steven gave 8 pens to Robert, pens with Robert = 3x+8 and pens with Steven= 2x-8 and the ratio =13:2

3x+8/2x-8=13/2

cross multiplication

2(3x+8)=13(2x-8)

6x+16=26x-104

26x-6x=16+104

20x=120

x=120/20=6

Number of pens with Robert at first=3*6=18

 Sep 18, 2021

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