A. In a division statement, the quotient is 4 and its remainder is 6.T

1.	A. In a division statement, the quotient is 4 and its remainder is 6.The sum of the dividend and the divisor is 66. Find the value ofthe dividend and the divisor.
Answer» ANSWER: Dividend = 54; divisor = 12 Step-by-step explanation: let the dividend , divisor , quotient and remainder be i , d , q and R respectively. Dividend = ( divisor × quotient ) + remainder According to question i = (d × 4) + 6 i = 4D + 6 4d + 6 = i 4d = i - 6 $d = \frac{i \: - \: 6}{4}$ this will first equation According to question i + d = 66 d = 66 - i this will second equation From first and second equation $\frac{i \: - 6}{4} = 66 - \: i$ i - 6 = 4( 66 - i ) i - 6 = 264 - 4i i + 4i = 264 + 6 i = 270/5 i = 54 if we put value of i in second equation d = 66 -54 d = 12 hence dividend is equal to 54 and divisor is equal to 12.

A. In a division statement, the quotient is 4 and its remainder is 6.The sum of the dividend and the divisor is 66. Find the value ofthe dividend and the divisor.

Answer»

Step-by-step explanation:

let the dividend , divisor , quotient and remainder be i , d , q and R respectively.

Dividend = ( divisor × quotient ) + remainder

According to question

i = (d × 4) + 6

i = 4D + 6

4d + 6 = i

4d = i - 6

$d = \frac{i \: - \: 6}{4}$

this will first equation

According to question

i + d = 66

this will second equation

From first and second equation

$\frac{i \: - 6}{4} = 66 - \: i$

i - 6 = 4( 66 - i )

i - 6 = 264 - 4i

i + 4i = 264 + 6

i = 270/5

if we put value of i in second equation

d = 66 -54

hence dividend is equal to 54 and divisor is equal to 12.