In a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then dividend is__________.

We are given:

The product of the quotient and remainder is 24:  $$Q\times R=24$$
The sum of the quotient and remainder is 10:   $$Q+R=10$$

Solving above two equations, we get {Q,R} as {6,4} or {4,6} . But now the given divisor is 5, the remainder should be less than 5, i.e remainder only possibility is to be 4 .

Hence, Q = 6, R = 4.

Now, Dividend = (Divisor×Quotient) + Remainder = 5(6) + 4 = 34.        

Therefore, Dividend = 34 .