Question

two numbers are in the ratio 5:6 when 2 is added to 1st and 3 is added to second they are in the ratio 4:5 find the number

Answer 1

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Answer 2

Let original numbers are 5x and 6x



According to the question, if 2 added to 5x and 3 added to 6x, Ratio becomes 4 : 5





Hence,

$\frac{5x + 2}{6x + 3} = \frac{4}{5} \\ \\ \\ = > 5(5x + 2) = 4(6x + 3) \\ \\ \\ = > 25x + 10 = 24x+ 12 \\ \\ \\ = > 25x - 24x = 12 - 10 \\ \\ \\ = > x = 2$





So, required numbers are [ 5( 2 ) = 10 ] and [ 6( 2 ) = 12 ]





$\boxed{ \bold{ \underline{ \: numbers \: are \: 10 \: and \: 12}}}$