Finding the Divident
1. When a a number is divided by 24, the quotient is 15 and the remainder is 7. Find the divident.
Solution:
$\Rightarrow$ given: Divisor = 24
$\Rightarrow$ Quotient = 15
$\Rightarrow$ Remainder = 7
$\Rightarrow$ Divident = ?
Now, Formula for finding the Divident = $\text{ Quotient } \times \text{ Divisor } + \text{ Remainder}$
$\therefore$ Divident = $15 \times 24 + 7 = 360 + 7 = 367$ Answer
Finding the Quotient
2. When 225 is divided by 13, the remainder is 4. Find the Quotient.
Solution:
$\Rightarrow$ Given, Divident = 225
$\Rightarrow$ Divisor = 13
$\Rightarrow$ Remainder = 4
$\Rightarrow$ Quotient = ?
Now, Formula for finding the Quotient = $\text{ Divisor } + \text{ Remainder}$
$\therefore$ Quotient = $13 + 4 = 17$ Answer
Finding the Divisor
3. When 429 is divided by a certain number, the Quotient is 28 and the remainder is 9. Find the Divisor.
Solution:
$\Rightarrow$ given, Divident = 429
$\Rightarrow$ Quotient = 28
$\Rightarrow$ Remainder = 9
$\Rightarrow$ Divisor = ?
Now, Formula for finding the Divisor = $\dfrac{\text{Divident } - \text{ Remainder}}{\text{Quotient}}$
$\therefore$ Divisor = $\dfrac{429 - 9}{28} = \dfrac{420}{28} = \dfrac{60}{4} = 15$ Answer
Finding the Remainder
4. When 429 is divided by 15, the Quotient is 28. Find the Remainder.
Solution:
$\Rightarrow$ given, Divident = 429,
$\Rightarrow$ Divisor = 15
$\Rightarrow$ Quotient = 28
$\Rightarrow$ Remainder = ?
Now, Formula for finding the Divisor = $\text{ Divident } - (\text{Quotient } \times \text{ Divisor})$
$\therefore$ $429 - (28 \times 15) = 429 - 420 = 9$ Answer
1. When a a number is divided by 24, the quotient is 15 and the remainder is 7. Find the divident.
Solution:
$\Rightarrow$ given: Divisor = 24
$\Rightarrow$ Quotient = 15
$\Rightarrow$ Remainder = 7
$\Rightarrow$ Divident = ?
Now, Formula for finding the Divident = $\text{ Quotient } \times \text{ Divisor } + \text{ Remainder}$
$\therefore$ Divident = $15 \times 24 + 7 = 360 + 7 = 367$ Answer
Finding the Quotient
2. When 225 is divided by 13, the remainder is 4. Find the Quotient.
Solution:
$\Rightarrow$ Given, Divident = 225
$\Rightarrow$ Divisor = 13
$\Rightarrow$ Remainder = 4
$\Rightarrow$ Quotient = ?
Now, Formula for finding the Quotient = $\text{ Divisor } + \text{ Remainder}$
$\therefore$ Quotient = $13 + 4 = 17$ Answer
Finding the Divisor
3. When 429 is divided by a certain number, the Quotient is 28 and the remainder is 9. Find the Divisor.
Solution:
$\Rightarrow$ given, Divident = 429
$\Rightarrow$ Quotient = 28
$\Rightarrow$ Remainder = 9
$\Rightarrow$ Divisor = ?
Now, Formula for finding the Divisor = $\dfrac{\text{Divident } - \text{ Remainder}}{\text{Quotient}}$
$\therefore$ Divisor = $\dfrac{429 - 9}{28} = \dfrac{420}{28} = \dfrac{60}{4} = 15$ Answer
Finding the Remainder
4. When 429 is divided by 15, the Quotient is 28. Find the Remainder.
Solution:
$\Rightarrow$ given, Divident = 429,
$\Rightarrow$ Divisor = 15
$\Rightarrow$ Quotient = 28
$\Rightarrow$ Remainder = ?
Now, Formula for finding the Divisor = $\text{ Divident } - (\text{Quotient } \times \text{ Divisor})$
$\therefore$ $429 - (28 \times 15) = 429 - 420 = 9$ Answer