Question

If three times the larger of two numbers is divided by the smaller number, we get 4 as the quotient and 3 as the remainder. also, if seven times the smaller number is divided by the larger one, we get 5 as quotient and 1 as the remainder. find the difference between these numbers.________________ 7

Answer 1

Let the larger number be xx

And the smaller number be yy

Now,

Dividend = divisor x quotient + remainder

According to the question,

5x=2y+95x=2y+9

⟹2y=5x−9⟹2y=5x−9

⟹y=5x−92⟹y=5x−92

By putting the values of x,x, you will obtain the corresponding values of y.y.

Hence, there can be a number of solutions for xxand y.y.

A few ordered pairs are mentioned below,

(1,-2), (3,3), (-1,-7) and so on.

Thank you.