Question

the sum of two numbers is 36.the larger is divided by smaller.the quotient is 2and reminder is 3.find the numbers

Answer 1

Let the first number be a

Second number = 36 - a

According to question,

(36 - a) = (a) (2) + 3

=> 36 - a = 2a + 3

=> 3a = 33

=> a = 11

First number = 11

Second number = 25

Answer 2

Let the smaller number be 'a' and bigger number be 'b'. 
Given : a + b = 36 -------------eq.1
a) b ( 2
----
3 
This can be written as 
b = 2a + 3 or 2a-b = -3 -------eq.2 
Solving eq.1 and 2, we get 
a= 11 and b = 25