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

The dividend is $34$. The quotient and remainder must be $6$ and $4$, because their product is $24$, their sum is $10$, and the remainder is below $5$. Thus the dividend is $5\cdot6+4$. Reversing quotient and remainder gives $26$ with an invalid remainder.