The sum of the two numbers is 52 and the difference is 28. Calculate the numbers.

Mathematics

1 answer:

Phantasy [73]2 years ago

6 0

Let's set these two numbers as 'a' and 'b'

Now, let's set up equations based on the information known:

the sum of the two numbers is 52 --> a + b = 52
the difference is 28 --> a - b =28

Equations

a + b = 52 -- equation 1
a - b = 28 -- equation 2

Solve:

(Equation 1) + (Equation 2)

2a = 80

a = 40 -- equation 3

(Equation 3)

40 + b = 52

b = 12

So a = 40 and b = 12

Hope that helps!

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