back to Algebra 1 video lessons

Number problem solving 3

Question:
When one number divide by another number, the quotient is 9 and the remainder is 12. What is the least dividend?
Solution:
quotient and remainder problem solving1
Because there is a remainder, the remainder is 12. The remainder should less than the divisor, so the least divisor is 13.
so we get the equation
x - 9(13) = 12
x = 9(13) + 12 = 117 + 12 = 129
so the least dividend is 129
remark:
Because the question asks for the least dividend, so we need one least divisor. The remainder should less than the divisor, the remainder is 12, so the divisor is 13.

The dividend is equal to the quotient multiply the divisor plus the remainder. The dividend subtracts the product of quotient and divisor is equal to the remainder. The remainder should less than the divisor. Write equation based on the relationship.