Question

The sum of two positive numbers is 54.If we divide the smaller number by greater number we get 3/10. Find the number.

Answer 1

          A + B = 54  ------- 1
Let A be the smaller number of the two numbers.

        A / B = 3/10     
        10 A = 3 B
          A = 3 B /10  ----- 2

Substitute this value of A in equation 1 ,  we get

          3 B /10  +  B = 54  
           (3 B + 10 B ) / 10  = 54

            13 B /10  = 54
              13 B = 540                      B = 540/13
         
           A = 3 /10  *  540/13   =  162/13