Question

on dividing 18270 by a certain number the quotient is 186 and the remainder is 42 find the divisor

Answer 1

First of all we want the unknown # or x to be left by itself so ?=x

⇒ x-4=8+(x/5)

⇒-8 -8

⇒ x-12=x/5

⇒ *5 *5  

⇒ 5x-60=x

⇒-5x -5x

⇒-60=-4x

⇒/-4 /-4

⇒15=x

I believe it is 15 not 11

substitute x for 11 and 15...

try- 11-4=8+(11/5)

⇒ 11-4=10+(1/5)

⇒ 7=10+(1/5) ???

try- 15-4=8+(15/5)

⇒ 11=8+3

⇒ 11=11

Answer 2

let divisor be x

(x × 186) + 42 = 18270

x × 186 = 18270 - 42

x × 186 = 18228

x = 18228÷186

x = 98