asked 101k views
4 votes
The sum of two numbers is 80. Their
difference is 24. What are the two
numbers?

1 Answer

2 votes

Answer:

28 and 52

Explanation:

Call the unknown numbers x and y.

X + Y = 80

Y - X = 24

We can use substitution to solve for the numbers.

Y = 24-x (see how i just rearranged the 2nd equation?)

Use that ^^^ back in the first equation.

X + Y = 80

X + (24-x) = 80

2X + 24 = 80

2X = 80-24

2X = 56

X = 28

So we know that X = 28. Solve for Y.

X + Y = 80

28 + Y = 80

Y = 80-28

Y = 52

Double check! Do the numbers equal 80?

28 + 52 = 80

Is the difference btwn the numbers 24>

52 - 28 = 24

answered
User Andreas Louv
by
7.8k points

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