Question

an integer when divided by -3 gives quotient 35 and by what fraction should we multiply 5 by 7 to get 25 by 42 ​

Answer 1

Given:-

• an integer when divided by -3 gives quotient 35

To find:-

• The integer.

Solution:-

$\small\bold{Let \: the \: number \: be}$ $\small\bold\green{x.}$

$= > x \div( - 3) = 35 \\ \\ \\ = > x = 35 \times ( - 3) \\ \\ \\ = > x = ( - 105)$

Hey mate! The integer is (-105).

Varifying:-

$\small\bold{insert \: (-105) \: in \: place \: of}$ $\small\bold\green{x.}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > ( - 3) \div ( - 105) \\ \\ \\ = > 35$

Explanation:-

To find the integer we multiplied the number (-3) with 35.

As it has division on L.H.S. so shifting it becomes multiplication.

The answer came in minus as one of the integers had minus sing.

Given:-

• Which fraction must be multiplied to 5/7 to get 25/42.

Solution:-

$\small\bold{Let \: the \: number \: be}$ $\small\bold\green{x.}$

$\: \: \: \: \: \: \: \: \: \: \: = > x \times \frac{5}{7} = \frac{25}{42} \\ \\ \\ \: \: \: \: \: \: \: \: \: \: = > x = \frac{25}{42} \div \frac{7}{5} \\ \\ \\ = > x = \frac{5}{6}$

hey mate! The fraction multiplied is 5 by 6.

Hope it was helpful...

Thanks for asking....☺❤

Answer 2

Given:-

an integer when divided by -3 gives quotient 35

To find:-

The integer.

Solution:-

$\small\bold{Let \: the \: number \: be}$

$\small\bold\green{x.}$

=>x÷(−3)=35

=>x=35×(−3)

=>x=(−105)

Hey mate! The integer is (-105)

Thanku ❤.