Question

If 460 is divided by a natural number the quotient is 6 more than five times the divisor and remainder is 1. Find the quotient and the divisor. ​

Answer 1

Answer:

Divisor = 9 Quo = 51

Step-by-step explanation:

Let the divisor be x

Divisor × Quo + rem = Divi

x (5x +6) +1 = 460

5x^2 +6x - 459 =0

5x^2 -45x +51x - 459 = 0

5x(x-9) + 51(x-9)

5x + 51

x - 9

divisor = 9

quo = 5× 9 +6 = 51