Question

The sum of two numbers is -50. Their difference is - 10. Find the numbers.

The smaller number is:
The larger number is:​

Answer 1

Larger is -30

Smaller is -20

Explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer 2

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Explanation:

x + y = -50

x - y = -10 Add

2x = - 60 Divide both sides by 2

2x/2 = -60/2 Do the division

x = - 30

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-30 - y = - 10 Substitute - 30 for x in the second equation

-30+30- y = -10 + 30 Add 30 to both sides

-y = +20 Divide by -1 on both sides

y = - 20