One number is 24 more than the other. What are the numbers if their sum is 84

The required numbers are 30 and 54.

Step-by-step explanation:

Given that one number is 24 more than the other, so

Given that the sum of the numbers is 84, so

so we have two equations

Arrange equation variables for elimination

subtracting the equartions

now solve 2x = 60 for x

Divide both sides by 2

Simplify

For y - x = 24 plug in x = 30

Add 30 to both sides

Simplify

Thus, the required numbers are 30 and 54.

Verification:

Given that one number is 24 more than the other, so

substitute x = 30

y = 30 + 24

y = 54

Thus, y is 24 more than x.

Given that the sum of the numbers is 84, so

sustitute x = 30 and y = 54

30 + 54 = 84

84 = 84

L.H.S = R.H.S

Thus,  the sum of the numbers is indeed 84.

the answer is y = 11.54

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step-by-step explanation:

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