Question

The number of times 79 must be subtracted from 50,000 so that the remainder is 43759 is
1) 69
2) 79
3) 59
4) 49

Answer 1

Hint: We will first subtract 43,759 from 50,000 to determine the number that will exactly divide 79. Next, we have to find the number of times 79 be multiplied to get a number equals to the difference of 50000 and 43759. We will find the result by dividing it by 79. The quotient will be our required answer.

Complete step-by-step answer:
Since we have to find the number of times 79 must be subtracted from 50000 so that the remainder is 43759, we first have to calculate the difference between 50000 and 43759. The difference between 50000 and 43759 is :
50000-43759= 6241.
The number 6241 will be exactly divisible by 79.
Let the number of times 79 must be added to form this difference be $x$.
Then we can say that
79+79+79..... $x$ times =6241
Or
$79x = 6241$
We can thus solve the above equation to find the solution for $x$.
Also, since $x$ is the number of times 79 must be added, the number x must be a whole number.
Divide the equation throughout by 79.
Therefore, $x = \dfrac{{6241}}{{79}}$
$x = 79$
Therefore, the number of times 79 must be subtracted from 50,000, so that the remainder is 43759 is 79.
Hence, option B is the correct answer.

Note: This can alternatively be done by using the formula ${\text{dividend = }}\left( {{\text{divisor \times quotient + remainder}}} \right)$ where dividend is 50,000; divisor is 79 and remainder is 43759. We can substitute these values and solve the equation to find the quotient. Hence, the quotient will be the required number.