On dividing a number by 38, we get 90 as the quotient and 19 as the remainder. What is the number?

Question

Accepted Answer

1. **Use the division algorithm**:  
   The formula for division is:  
   $$ 	ext{Number} = (	ext{Divisor} 	imes 	ext{Quotient}) + 	ext{Remainder} $$.

2. **Substitute the given values**:  
   - Divisor = 38  
   - Quotient = 90  
   - Remainder = 19

Substituting into the formula:  
   $$ 	ext{Number} = (38 	imes 90) + 19 $$.

3. **Perform the calculation**:  
   $$ 	ext{Number} = 3420 + 19 = 3439 $$.

Thus, the number is **3439**, and the correct answer is **(a)**.

Answer

Answer

Answer