Question

two numbers are such that when the larger number is divided by the smaller number both the quotient and the remainder are equal to 2 if 5 times the smaller number is divided by the larger number both the quotient and remainder is also equal to 2 find the two numbers​

Answer 1

Answer:

There is formula to find out dividend .

Dividend = quotient * divisor + remainder.

Now , assume there are two numbers ‘a’ and ‘b’. such that a > b ;

in the question it is given that 3 times of larger number when divided by smaller number then we get 6 as quotient and 6 as remainder.

divisor = b;

dividend = 3a;

quotient = 6;

remainder = 6;

using above formula we get the following equation.

3a = 6b + 6 ……….(1)

and one more equation according to question

divisor = a;

dividend = 5b;

quotient = 2;

remainder = 3;

5b = 2a + 3……..(2)

after solving equation 1 and 2 we get solution.

a= 16 ;

b = 7;

b is smaller then a , so anwer is b = 7;