Question

when 5 times the larger of the two numbers is divided by the smaller, the qoutient and the reminder are 2 and 9 respectively. Form a linear equation in two variables. Write it is tandard form

Answer 1

Answer:

x = 2y +  9

Step-by-step explanation:

let the greater (larger) number be 'x'

let the smaller number be 'y'

as per the information provided, we can conclude that -

            Dividend (D) = x

            Divisor (d) = y

            Quotient (q) = 2

            Remainder (r) = 9

  according to the Division Algorithm,

      D = dq + r

Hence, the required linear equation in two variables will be..............

                     x = 2y + 9

Answer 2

Answer:

Let x be the smaller number and y be the larger number.

5y = 2x + 9 (Linear equation in two variables)

2x + 9 =  5y

2x - 5y + 9 = 0 (Standard form)