Question

The sum of two integers is 20.Dividing the larger integer by the smaller integer gives a quotient of -3.Find the two integers. solve it also

Answer 1

let one integer be x

other integer = 20- x

ATQ
(20-x)/x = -3
20 -x = -3x
3x - x = -20
2x = -20
x = - 10

now larger number = 20-(-10)=20+10= 30
smaller number = -10

Answer 2

Hi there !!

Lets assume that one integer = " x "

Then ,
other integer = 20 - x


$\frac{20- x}{x}$ = -3

20 - x = -3x

20 = -3x +x

20 = -2x

-2x = 20

x = 20 ÷ -2

x = -10

Larger number = 20 - x

= 20-(-10)

= 20+10

= 30

smaller number = -10


You can work out whether the answer is correct !!

30 + (-10) = 20

Also ,

30 ÷ (-10) = -3