Question

What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6

please explanation needed

Answer 1

Let the adding value be x

ATQ

`\\ \sf\longmapsto (2+x)/(5+x)=(5)/(6)`

`\\ \sf\longmapsto 6(2+x)=5(5+x)`

`\\ \sf\longmapsto 12+6x=25+5x`

`\\ \sf\longmapsto 6x-5x=25-12`

`\\ \sf\longmapsto x=13`