Question

the sum of two numbers is 15. if one number is subtracted from the other, the result is -3. find the numbers

Answer 1

The numbers are 6 and 9

Explanation:

Let the two numbers be x and y.

Given :

The sum of two numbers
`x+y=15` equation:1

Also the difference of x and y
`x-y= -3` equation:2

On solving equation:2

`x=y-3` equation:3

Putting this value of x in equation 1.

`x+y=15\\\\(y-3)+y=15\\2y-3=15\\2y=15+3\\2y=18\\y=18/2\\y=9`

Putting value of y in equation:3 to find x

`x=y-3\\x=9-3\\x=6`