Question

If 90 is divided by a Natural Number, Quotient is 14 less than two times the divisor and remainder is 2. What is the quotient?​

Answer 1

Answer:

8

Explanation

Divisor × Quo + rem = Dividend

x × (2x - 14) + 2 = 90

2x^2 - 14x +2 = 90

2x^2 -14x -88

2x^2 +8x - 22x -88 =0

2x(x +4) -22(x+4)=0

(2x -22)(x+4) =0

2x = 22

x = 11

Quotient = 2×11 - 14 = 8