Question

The sum of numerator and denominator of the fraction is 12 and the denominator is 2 more than numerator.find the fraction

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Answer 1

-- Their sum is 12.

-- If they were equal, each would be 6.

-- To make them differ by 2 without changing their sum, move 1 from the numerator (make it 5), to the denominator (make it 7).

Answer 2

Let numerator be x

• Denominator=x+2

ATQ

`\\ \sf\longmapsto x+x+2=12`

`\\ \sf\longmapsto 2x+2=12`

`\\ \sf\longmapsto 2x=12-2`

`\\ \sf\longmapsto 2x=10`

`\\ \sf\longmapsto x=(10)/(2)`

`\\ \sf\longmapsto x=5`

Now the fraction is

`\\ \sf\longmapsto (x)/(x+2)`

`\\ \sf\longmapsto (5)/(5+2)`

`\\ \sf\longmapsto (5)/(7)`