Question

In a division sum, the divisor is 15 times the quotient and 3 times the remainder. If the remainder be 75, then the dividend is

Answer 1

Answer:

3450

Step-by-step explanation:

Given :

Divisor is 3 times the remainder and the remainder is 75

⇒ Divisor = 3 × Remainder = 3 × 75 = 225

Given

Divisor is 15 times the Quotient

⇒ Divisor = 15 × Quotient

⇒ 225 = 15 × Quotient

⇒ 225 / 15 = Quotient

⇒ 15 = Quotient

⇒ Quotient = 15

Using Division algorithm

Dividend = ( Divisor × Quotient ) + Reamainder

⇒ Dividend= ( 225 × 15 ) + 75

⇒ Dividend = 3375 + 75

⇒ Dividend = 3450

Therefore the dividend is 3450.

Answer 2

$\huge\sf\pink{Answer}$

☞ Divident = 3450

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ Divisor is 15 times the quotient

✭ And is 3 times the remainder

✭ The remainder is 75

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

☆ The value of dividend?

$\rule{110}1$

$\huge\sf\red{Concept\:Used}$

✪ Here we use the Euclid's Division Lemma, that is

Dividend = Divisor (Quotient) + Remainder

$\rule{110}1$

$\huge\sf\purple{Steps}$

So to find the Divident we need the Values of the Quotient and the remainder,Which we then substitute in the formula we have to get our final answer.

We know that,

◕ Remainder = 75

◕ 3R = Divisor

So,

➳ 3(75) = Divisor

➳ Divisor = 225

$\rule{100}1$

We also know that,

Divisor = 15Q

So,

➼ 225 = 15Q

➼ $\sf\dfrac{225}{15} = Q$

➼ Q = 15

So now we shall find the dividend,

➢ Divided = Divisor (Quotient) + Reminder

➢ Dividend = 225(15) + 75

➢ Divided = 3375+75

➢$\sf\orange{ Dividend = 3450 }$

$\rule{170}3$