Question

Divide 49 into 2parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2​

Answer 1

Step-by-step explanation:

A number is divided in to two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find the number and the two parts.

solution:

       let one part of number = x

           therefore ,  other part of number = x+10

   according to question ,

             x+10/x=5/3

           3(x+10)= 5x

           3x+30 =5x

             30 = 5x -3x

             30 = 2x

     or x=30/2

         x=15

therefore one part of number = 15

and other part = 15+10 =25

hence number = 15+25 =40