Makakuha ng mga sagot ng eksperto sa iyong mga tanong sa IDNStudy.com. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

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