Makakuha ng maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Magtanong at makatanggap ng eksaktong sagot mula sa aming mga bihasang miyembro ng komunidad.

The difference between two numbers is 13. When the greater number is divided by the smaller number, the quotient is 2 and the remainder is 5. What are the numbers?

Sagot :

x - y = 13

-y=-x + 13
y = x-13

Let bigger number be x
      smaller number x - 13
      ratio of the two:  x/x-13
      quotient = 2 × 5/x-13  
                   = 2 (x-13)+5
                         x-13
                   = 2x - 21
                      x-13
Equation:
   x   =  2x - 21
 x-13     x - 13
 
2x - x  =  21
 x-13     x-13

x (x-13)   = 21 (x-13)
   x-13      x-13

x = 21

The numbers are:
Bigger number, x = 21
smaller number, x-13 = 21-13 = 8

The numbers are 21 and 8.

To Check:
21-8 = 13

21/8 = 2 and 5/8