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

Question

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

Answer 1

x + y = 36 or x = 36-y

 

x/y = 2 + 3/y   now substitute x = 36-y

 

(36-y)/y = 2 + 3/y   multiply equation by y

 

36-y = 2y + 3

 

33 = 3y

 

y = 11

x = 25

 

Check

 

11 + 25 = 36

25/11 = 2 remainder 3