Question

When 5 times the larger of two numbers is divided by the smaller,the quotient and the remainder are 3 and 7 respectively.form a linear equation in 2 variables,also find one solution of this equation

Answer 1

Hey there!

Let the larger number be x and smaller number be y Five times larger number

= 5x When 5x is divided by y the quotient is 2 and remainder is 9.

By division rule, we have Dividend

= (divisor) × (quotient) + Remainder 5x

= y(2) + 9 ⇒ 5x – 2y – 9 = 0 Put x = 3 and y

= 3 in LHS 5x – 2y – 9 = 5(3) – 2(3) – 9

= 15 – 15 = 0

= RHS Hence x = 3 and y = 3 is one of the solution of the linear equation.

Thanks !

Hope this helps you!