Question

The divison of the whole bumber N by 13 gives a quotient of 15 and a remainder of 12. Find N

Answer 1

N/13 = 15 with a remainder of 12:

Multiply both sides of this eq'n by 13, to eliminate fractions:

15N = 13(15) + 12 = 195 + 12 = 207


Let's check our answer.

 Divide 13 into 207.  Using a calculator, we find the quotient is 15.923.

The remainder is 0.923 times 13, or 12.  

The number N is 207