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The sum of two numbers is 84. The difference of the two numbers is 40. What are the two numbers.

Let
x
be the larger number and
y
be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 84.



Answer :

Answer:

x = 62 , y = 22

Step-by-step explanation:

given the sum of x and y is 84 and their difference is 40 , then

x + y = 84 → (1)

x - y = 40 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y ) = 84 + 40

2x + 0 = 124

2x = 124 ( divide both sides by 2 )

x = 62

substitute x = 62 into either of the 2 equations and solve for y

substituting into (1)

62 + y = 84 ( subtract 62 from both sides )

y = 22

The larger number, x is 62 and the smaller number, y is 22

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