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21-08-2021
Mathematics

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Two numbers are in the ratio 1:2. If 7 is to be added to both, then ratio changes to 3:5, find the numbers

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21-08-2021

Let numbers be x and 2x

ATQ

[tex]\\ \rm\longmapsto \dfrac{x+7}{2x+7}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\longmapsto 5(x+7)=3(2x+7)[/tex]

[tex]\\ \rm\longmapsto 5x+35=6x+21[/tex]

[tex]\\ \rm\longmapsto 6x-5x=35-21[/tex]

[tex]\\ \rm\longmapsto x=14[/tex]

2x=2(14)=28years

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