Question

(a)
10. 758
05. The product of two numbers is 504347. If one of the numbers is 317, find the other.
76. On dividing 59761 by a certain number, the quotient is 189 and the remainder is 37. F.
the divisor
7. On dividing 55390 by 299, the remainder is 75. Find the quotient using the divis
(а
11. 58​

Answer 1

CORRECT QUESTION :-

(1) The product of two numbers is 504347 . If one of the number is 317 , then find the other number

(2) On dividing 59761 by a certain number , the quotient is 189 and remainder is 37 . Find the divisor

(3) On dividing 55390 by 299 , the remainder is 75 . Find the quotient .

SOLUTION :-

(1) We have ,

• Product of two numbers as 504347
• One of them is 317

Let the other number be 'x'

$\implies \bf \: x \times 317 = 504347 \\ \\ \implies \bf \: 317x = 504347 \\ \\ \implies \bf \: x = \frac{504347}{317} \\ \\ \implies {\underline {\boxed {\blue {\bf{x = 1591}}}}}$

∴ The other Number is 1591

(2) We are given ,

• dividend = 59761
• divisor = 'a' (let)
• quotient = 189
• Remainder = 27

Relation between Dividend , divisor , quotient and remainder is given by ,

$\large {\underline {\boxed {\red {\bf{ D = d \times Q + R}}}}}$

Where ,

• D is dividend
• Q is quotient
• d is divisor
• R is remainder

$\implies \bf \: 59761 = x \times 189 + 37 \\ \\ \implies \bf \: 59761 = 189x + 37 \\ \\ \implies \bf \: 59761 - 37 = 189x \\ \\ \implies \bf \: 59724 = 189x \\ \\ \implies \bf \: x = \frac{59724}{189} \\ \\ \implies {\underline {\boxed {\blue {\bf{x = 316}}}}}$

∴ The certain number is 316

(3) We are given that ,

• Dividend = 55390
• Divisor = 299
• Remainder = 75
• Quotient = 'y' (let)

Relation between Dividend , divisor , quotient and remainder is given by ,

$\large {\underline {\boxed {\red {\bf{ D = d \times Q + R}}}}}$

Where ,

• D is dividend
• Q is quotient
• d is divisor
• R is remainder

$\implies \bf \: 55390 = 299 \times y + 75 \\ \\ \implies \bf \: 55390 = 299y + 75 \\ \\ \implies \bf \: 55390 - 75 = 299y \\ \\ \implies \bf \: 55315 = 299y \\ \\ \implies \bf \: y = \frac{55315}{299} \\ \\ \implies {\underline {\boxed {\blue {\bf{ \: y = 185}}}}}$

∴ The quotient is 185

Answer 2

Answer:

CORRECT QUESTION :-

(1) The product of two numbers is 504347 . If one of the number is 317 , then find the other number

(2) On dividing 59761 by a certain number , the quotient is 189 and remainder is 37 . Find the divisor

(3) On dividing 55390 by 299 , the remainder is 75 . Find the quotient .

SOLUTION :-

(1) We have ,

Product of two numbers as 504347

One of them is 317

Let the other number be 'x'

\begin{gathered} \implies \bf \: x \times 317 = 504347 \\ \\ \implies \bf \: 317x = 504347 \\ \\ \implies \bf \: x = \frac{504347}{317} \\ \\ \implies {\underline {\boxed {\blue {\bf{x = 1591}}}}}\end{gathered}

⟹x×317=504347

⟹317x=504347

⟹x=

317

504347

⟹

x=1591

∴ The other Number is 1591

(2) We are given ,

dividend = 59761

divisor = 'a' (let)

quotient = 189

Remainder = 27

Relation between Dividend , divisor , quotient and remainder is given by ,

\large {\underline {\boxed {\red {\bf{ D = d \times Q + R}}}}}

D=d×Q+R

Where ,

D is dividend

Q is quotient

d is divisor

R is remainder

\begin{gathered} \implies \bf \: 59761 = x \times 189 + 37 \\ \\ \implies \bf \: 59761 = 189x + 37 \\ \\ \implies \bf \: 59761 - 37 = 189x \\ \\ \implies \bf \: 59724 = 189x \\ \\ \implies \bf \: x = \frac{59724}{189} \\ \\ \implies {\underline {\boxed {\blue {\bf{x = 316}}}}}\end{gathered}

⟹59761=x×189+37

⟹59761=189x+37

⟹59761−37=189x

⟹59724=189x

⟹x=

189

59724

⟹

x=316

∴ The certain number is 316

(3) We are given that ,

Dividend = 55390

Divisor = 299

Remainder = 75

Quotient = 'y' (let)

Relation between Dividend , divisor , quotient and remainder is given by ,

\large {\underline {\boxed {\red {\bf{ D = d \times Q + R}}}}}

D=d×Q+R

Where ,

D is dividend

Q is quotient

d is divisor

R is remainder

\begin{gathered} \implies \bf \: 55390 = 299 \times y + 75 \\ \\ \implies \bf \: 55390 = 299y + 75 \\ \\ \implies \bf \: 55390 - 75 = 299y \\ \\ \implies \bf \: 55315 = 299y \\ \\ \implies \bf \: y = \frac{55315}{299} \\ \\ \implies {\underline {\boxed {\blue {\bf{ \: y = 185}}}}}\end{gathered}

⟹55390=299×y+75

⟹55390=299y+75

⟹55390−75=299y

⟹55315=299y

⟹y=

299

55315

⟹

y=185

∴ The quotient is 185