The difference between the two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the reminder is 15. Find the smallest number?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 270
Let the smaller number be S and the larger be L. The division gives L = 6S + 15, and the difference gives L − S = 1365.
Substituting, 6S + 15 − S = 1365, so 5S = 1350 and S = 270. Then L = 1635, and dividing 1635 by 270 does give quotient 6 with remainder 15.